Jackson Hole is a valley first and a town second — a long, flat floor of sagebrush and cottonwood, walled on the west by the Teton Range and watered by the Snake River as it bends south from Yellowstone. French trappers named the peaks; the valley kept the wilder name. A hole, in mountain-man language, was exactly this: a high valley ringed completely by mountains.

What makes it bucket-list material isn't any single sight. It's the density of them. Sunrise at Snake River Overlook, where the river draws a silver S beneath the peaks. A moose and her calf in the willows along Moose–Wilson Road. Elk bugling across the National Elk Refuge in autumn. Then, twenty minutes later, you're under the antler arches of Town Square, in a frontier town of wooden boardwalks, galleries and saloon doors — with a ski mountain rising directly behind it.

Come for a week and it becomes two trips in one: Grand Teton National Park at your doorstep, and Yellowstone's southern entrance just up the road. Come in winter and the same valley turns into one of North America's great ski towns. Either way, the Tetons are the constant — photogenic from every pullout, and somehow better in person than in any of these frames.

The Dolomites are an ancient coral reef, lifted from a tropical sea and left standing in the Alps — which is why they don't look like other mountains. The rock is pale, vertical and theatrical: towers, spires and battlements that catch the evening sun and flush rose-pink in the phenomenon locals call enrosadira, the alpenglow.

The hut-to-hut hike is the way to know them. You walk out of a village like Ortisei or Cortina d'Ampezzo with a light pack, climb through larch forest into open meadow, and by late afternoon you're at a rifugio — a stone mountain hut with a terrace, a wood stove, and a kitchen sending out canederli dumplings, speck and apple strudel. You sleep high, wake above the clouds, and walk to the next hut. Days link together into a journey: Seceda's knife-edge ridge, the three towers of Tre Cime di Lavaredo, the emerald stillness of Lago di Braies.

It's a hike, but it's also slow European travel at its best — the thing this family loves, taken vertical. Three languages meet up here (Italian, German and Ladin), every valley has its own church spire and its own cheese, and the trail always, always ends at a table.

Kyoto rewards slowness like nowhere else on this list. This is a city of thresholds: a vermilion gate, a raked-gravel garden, a curtain parting into a tea house. The Golden Pavilion burns against its pond in the north-west; across town, Fushimi Inari's ten thousand torii gates climb a mountain in a tunnel of orange light, thinning as you climb until it's just you, the gates and the crows.

West, in Arashiyama, the bamboo grove does something no photograph prepares you for — it creaks and knocks and sighs, a forest making wooden music, listed among Japan's hundred soundscapes worth preserving. Come back through town at dusk and Gion is lamplit and hushed: wooden machiya facades, a flash of white face and silk at a corner if you're lucky, and the Yasaka pagoda standing at the end of a stone lane like a punctuation mark.

Time it for late November and the maples set the temple gardens alight in red; time it for spring and the Philosopher's Path drifts pink. Either way, Kyoto isn't a place you see. It's a place you lower your voice for.

Agriturismo is Italy's quiet genius: by law, a working farm that hosts guests, serving food grown on its own land. You sleep in a converted stone barn or the old farmhouse itself, and the estate becomes your rhythm — espresso on the terrace while the mist burns off the vines, a morning helping (or honestly, watching) in the vineyard, lunch under the pergola, a slow afternoon by the pool, and a dinner that travels about fifty metres from soil to plate.

The Val d'Orcia is the landscape to do it in — the Tuscany of the postcards, except it's real: wheat and cypress hills south of Siena, the hill towns of Pienza, Montalcino and Montepulciano strung along the ridges, each with its own cheese, its own wine, its own duomo. Pici pasta rolled by hand. Pecorino aged in walnut leaves. Brunello poured by the person who pruned the vines. Olive oil so green it bites.

It's the family's favourite kind of travel — slow, European, table-led — with the hotel replaced by a farm and the itinerary replaced by appetite. Days arrange themselves: a market morning, a cooking class with nonna, a truffle hunt in the oak woods, golden hour doing absolutely nothing, beautifully.

Some mountains you visit. Mont Blanc you report to. At 4,808 metres it closes the Chamonix valley like a wall of ice, and the town beneath it — a handsome sprawl of Belle Époque hotels, gear shops and café terraces along the Arve river — has been organising itself around the summit since the first ascent in 1786.

The great trick of Chamonix is how much altitude it hands you with no effort at all. The Aiguille du Midi cable car — for twenty years the highest in the world — lifts you from the town centre to a needle of rock beside the summit, where the Alps unfold in every direction and a glass box hangs you over the void. The little red Montenvers rack railway climbs the other side to the Mer de Glace, France's largest glacier, creaking and grey-blue in its valley.

And then, the valley floor: fondue and tartiflette, market mornings, the river running milky turquoise with glacial flour. Chamonix in summer is hikers and trail runners; in winter, the steepest kind of skiing. In any season, it's the Alps at full volume.

If Chamonix is the Alps at full volume, the Jungfrau region is the Alps in perfect tune. Grindelwald sits in a green amphitheatre under the Eiger, the Mönch and the Jungfrau — three peaks so famous they read like a cast list. Cable cars fan out in every direction: up to First for the cliff walk and the long meadow trails, up toward the Eiger glacier, down into a valley stitched with farms and cowbells.

Across the ridge, Wengen is the quieter magic. No cars at all — you arrive by rack railway from Lauterbrunnen, climbing past waterfalls, and the village runs at walking pace: grand old hotels, chalet lanes, and a terrace view straight down the Lauterbrunnen valley with its 72 waterfalls. From Wengen the railway climbs on, through the Eiger itself, to Jungfraujoch — the highest station in Europe, a saddle of snow between two four-thousand-metre peaks.

It's the family's Europe at its most storybook: trains on time to the minute, meadows like lawns, fondue at altitude, and mountains that have been posing for painters for two hundred years — entirely unbothered.

Fall in New England is a season with a fan club and a forecast. The colour creeps down from the northern mountains through September, peaks in Vermont and New Hampshire in early October, and for a few perfect days every hillside is a bonfire that doesn't burn. Sugar maples do the scarlet, birches the gold, oaks the long russet finish — and the whole performance is free, at every bend in the road.

The scenery between the forests is the other half of it: white-steepled churches on village greens, covered bridges ticking under your tyres, farm stands selling cider doughnuts still warm from the fryer. Drive the Kancamagus Highway through the White Mountains, loop Vermont's Route 100 past Stowe and Woodstock, stop whenever the light says stop — which, at peak, is roughly every four minutes.

It's the closest trip on this list and the most time-critical: miss peak by a week and you've missed the year. Which is exactly why it belongs in a magazine of dreams — some trips you plan around the mountain's schedule, and this one you plan around the trees'.

The Cotswolds run on a single material: oolitic limestone the colour of honey and toast, quarried for two thousand years and used for everything — cottages, churches, field walls, whole villages. The wool trade made it rich in the Middle Ages, and the money fossilised beautifully: steep stone-slate roofs, mullioned windows, and “wool churches” far grander than their villages need.

The joy of it is the scale. Nothing is far, nothing is tall, everything is walkable. Bourton-on-the-Water threads its river under little bridges like a miniature Venice; Stow-on-the-Wold does antiques and tea rooms; the Slaughters — Upper and Lower, far gentler than they sound — are a riverside stroll between two perfect villages. Footpaths link them all across sheep fields, with a pub, reliably, at each end.

From London it's close enough for a long weekend and different enough to feel like another century — the slow-travel counterweight on this list, all lanes and low light, ending every day at a table in a stone-walled pub.

Edinburgh begins with geology and never quite gets over it. The castle sits on a volcanic plug above sheer crags; the Royal Mile pours down the ridge it left behind, a mile of closes, wynds and tall stone lands that housed a whole city inside its walls. Below the ridge, the 18th century answered with the New Town — crescents and circuses of golden stone, proportioned like an Enlightenment argument.

Walk it and the layers keep coming. The Grassmarket spreads under the castle's crag, pubs in the shadow of the rock. Victoria Street curves away in a swoop of coloured shopfronts. Dean Village hides a mill-village gorge ten minutes from Princes Street. And above everything, Arthur's Seat — another volcano, a proper rugged hill inside a capital city — gives you the full panorama for the price of an hour's climb.

Add the family's soft spot for old architecture and Edinburgh is almost unfairly on-brief: a city-sized argument that stone, height and northern light are enough. Come in August for the Festival if you want it loud; come in the quiet months for the dusk, the whisky warmth, and the closes to yourselves.

Istanbul is the great threshold city — Europe on one shore, Asia on the other, and the Bosphorus running between them like a river through the middle of town. The old peninsula stacks the centuries: the Hagia Sophia's impossible dome, the Blue Mosque's six minarets facing it across the square, the Grand Bazaar's vaulted lanes humming since 1461, and ferries crossing to Asia for the price of a coffee.

Then fly an hour east and the planet changes. Cappadocia is a soft volcanic moonscape carved into fairy chimneys and cave churches, where whole Byzantine monasteries hide inside the rock — and where, on every calm dawn, a hundred hot-air balloons rise over Göreme valley as the stone turns gold. Sleep in a cave hotel, walk the rose-coloured valleys by day, float over all of it at sunrise.

Finish in the west, where Turkey keeps its antiquity in the open air: Pamukkale's blinding-white travertine terraces, filled with warm turquoise pools above the ruins of Hierapolis — and Ephesus, a marble Roman city of libraries, theatres and terraced houses that you walk down the middle of, on the original streets.

The Mara is where the safari idea becomes real. Rolling grassland to every horizon, umbrella acacias, a river lined with hippos and crocodiles — and animals in numbers that recalibrate your sense of scale. Lions on the morning grass. Cheetahs scanning from termite mounds. Leopards in the riverine forest, elephants at the marsh, giraffes moving through the frame like punctuation.

Then, from about July to October, the migration arrives: over a million wildebeest, zebra and gazelle pouring in from the Serengeti, and the Mara River crossings — herds bunching on the banks, then plunging through crocodile water in a chaos of horns and spray — become the most intense wildlife spectacle on the planet. It is nature entirely unscripted, and no documentary prepares you for the sound of it.

Days run on safari time: out before dawn with coffee in the Land Cruiser, a picnic breakfast under an acacia, back to camp for the heat, out again for the evening. One morning, trade the vehicle for a balloon and watch the herds from above in total silence — then land to a champagne breakfast in the bush, a tradition as old as the balloons themselves.

Patagonia saves its best for last. Torres del Paine — paine is the Tehuelche word for blue — is a compact granite kingdom at the tail of the Andes: three sheer towers, the black-and-gold Cuernos (the Horns), hanging glaciers that calve into grey lakes, and water in colours that look assigned by a painter: turquoise, milky jade, steel blue.

The way in is on foot, and the park knows it — this is Dolomites-style hut-to-hut in a wilder key. The W Trek strings refugios along the massif's southern face over four or five days: up the French Valley with avalanches cracking off the hanging glacier, past Los Cuernos along Lake Pehoe, and finally the pre-dawn climb to the towers' own lagoon for the towers' red ignition. The longer O Circuit circles the whole range for those who want the back country to themselves.

And the park is alive in a way the Alps no longer are. Guanacos graze the steppe in herds, condors ride the famous wind — which can knock a grown hiker sideways and is treated by locals as a cast member, not a condition — and around the eastern estancias, guides track wild pumas with a success rate that makes this one of the best places on Earth to see one.

Banff began with hot water. In 1883, railway workers found the Cave and Basin hot springs steaming on Sulphur Mountain; two years later the valley became Canada's first national park — the seed of the whole Parks Canada system. The railway brought the world to it, and the world has been coming ever since, because the raw material is unreasonable: the Bow Valley walled by Cascade Mountain and Rundle, lakes fed by glaciers, and forests that run to the horizon.

The lakes are the headline act. Moraine Lake burns turquoise under the Valley of the Ten Peaks; Lake Louise answers in emerald, with the Victoria Glacier at its head and a grand railway hotel on its shore — paddle a red canoe at dawn and the lake is a mirror with a mountain range standing in it. Between the lakes, Johnston Canyon threads catwalks bolted to limestone walls above a rushing creek, waterfall to waterfall.

And unlike most wilderness, Banff has a town in the middle of it — Banff Avenue's lodges and cafés under Cascade Mountain, elk grazing the fairways, the Bow River running green under the bridge. Winter turns the whole park into ski country (Sunshine, Norquay, Lake Louise); summer is hiking season. The Rockies here are not remote. They are simply, daily, outside your window.

For a lover of old buildings, Rome is not a destination; it's the source code. Walk the centre and the centuries take turns: the Forum's broken columns where the Senate argued, the Pantheon — nearly two thousand years old and still the largest unreinforced concrete dome in the world, its oculus open to the rain — and then the Renaissance answering across the river with St Peter's, Michelangelo's dome riding over Bernini's colonnade.

But Rome's genius is that the monument is also the neighbourhood. The Colosseum anchors a working district; the Trevi Fountain erupts at the end of an ordinary shopping street; Piazza Navona keeps the exact outline of a Roman stadium under its fountains. Romans park their Vespas against two-thousand-year-old walls and argue about pasta with theological seriousness. The city never became a museum, so the museum never closed.

Evenings belong to Trastevere, across the Tiber — ivy, ochre walls, laundry lines and a hundred small restaurants spilling into cobbled lanes. Order what the neighbourhood orders: cacio e pepe, carbonara (no cream — this is a point of honour), carciofi alla romana, and a glass of something local. Rome rewards walkers, feeds everyone, and at golden hour turns the colour of the stone it invented.

London is really a federation of villages that grew together — which is why it rewards the wandering style this family travels by. Westminster gives you the ceremonial city: Parliament, the Abbey, Big Ben over the river. Walk east along the Thames and the centuries shuffle — St Paul's dome across the Millennium Bridge, the Tower's white Norman keep, Tower Bridge raising its bascules for a tall ship, as it has since 1894.

Then turn inland and the neighbourhoods take over, each a small country: Notting Hill's pastel terraces and the Portobello Road market on a Saturday; Covent Garden's performers and old market halls; Borough Market under the railway arches, the greatest food hall in Britain wearing a market's clothes. Museums that rank with any on Earth — the British Museum, the National Gallery, the Tate Modern in its power station — and nearly all of them free.

Base it as the city anchor of an England trip: arrive from the Cotswolds by train (No. 08 is ninety minutes away), give London its own unhurried days, and let evenings run on theatre time — the West End, a pub by the stage door, the last Tube home across the river of lights.

New York is the city the movies pre-loaded for you — which makes arriving a strange double experience: everything is famous, and everything is bigger, louder and better lit than its close-up. Start where the city starts, at the harbour: the Statue of Liberty on her island, Ellis Island's halls behind her, and the Brooklyn Bridge walking you back into Manhattan at dusk, the skyline switching on as you cross.

Uptown, Central Park is the city's masterpiece of restraint — 843 acres of meadow, woodland and lake held against the grid since 1858, with the skyscrapers standing around it like an audience. Row a boat under Bow Bridge, find Strawberry Fields' mosaic, then step out of the trees into the Metropolitan Museum on one side and the American Museum of Natural History on the other. No other park on Earth has neighbours like these.

And then give the city its evenings: Broadway at full wattage, a jazz set in a Village cellar, pizza standing up at a counter the way it's meant to be eaten, the whole planet's cuisines within a subway ride. New York doesn't do slow travel the Tuscan way — it does density as a form of generosity. Pace it in neighbourhoods, one per day, and it becomes almost gentle. Almost.