As host of the first Winter Olympics in 1924, Chamonix will always have a place in the history books. Its main attractions are Mont-Blanc (Western Europe's tallest mountain) and the many ski areas that face the Chamonix Valley. Steep slopes and extreme weather conditions suit advanced skiers best, but there are also runs for beginners. Just make sure everyone in your party knows a green circle from a black diamond. Oh, and another note for the history books—Pierce Brosnan was here (filming a James Bond movie, The World Is Not Enough).

Overlooking the Rhone Valley, Nendaz boasts an incredible panorama of the Alps. As sunny as the French Riviera, Nendaz is perfect for a number of outdoor activities such as skiing (on 400 kilometers of slopes), winter and summer hiking, exploring the area's ancient waterways, or mountain biking. Located at the heart of the largest ski region in Switzerland, Nendaz has plenty of options for beginners and expert skiers alike, with its extraordinary itineraries and extremely varied ski runs.

A powerful force since medieval times, the thriving Swiss capital is an appealing city of museums and collections. Bernmobil is the capital's transport system; a BernCard is valid on its trams and buses. A free bike service is also an option for getting around. The Historical Museum and the Collection of the Bern Museum of Fine Arts house the art and architecture of millennia. The Einstein House and the Paul Klee Centre showcase the work of two of Bern's famous former inhabitants.

As the oldest resort town on the French Riviera, Hyeres has been entertaining France’s aristocracy for centuries, and its medieval old town—perched on a hilltop overlooking the coastal islands and salt marshes—maintains an air of elegance.

From Shoreditch’s swaggering style to Camden’s punky vibe and chic Portobello Road, London is many worlds in one. The city’s energy means that no two days are the same. Explore royal or historic sites, tick off landmarks from your bucket list, eat and drink in exclusive Michelin-starred restaurants, enjoy a pint in a traditional pub, or get lost down winding cobbled streets and see what you stumble across – when it comes to London, the possibilities are endless.

It’s nicknamed the Eternal City for a reason. In Rome, you can drink from a street fountain fed by an ancient aqueduct. Or see the same profile on a statue in the Capitoline Museum and the guy making your cappuccino. (Which, of course, you know never to order after 11 am.) Rome is also a city of contrasts—what other place on earth could be home to both the Vatican and La Dolce Vita?

Once known for smog, traffic and tacky architecture, Athens is a city reformed thanks to fortunes brought by the 2004 Summer Olympics. Spotless parks and streets, an ultra-modern metro, new motorways, an accessible airport and all signs in perfect English make the city easily negotiable. Meriting more than a stopover en route to the islands, sophisticated Athens sites include many pillars of Western history, from the Acropolis to the Temple of Olympian Zeus, as well as treasures in the National Archaeological Museum.

Lying in south central Turkey, the moonscaped region of Cappadocia, southeast of Ankara, is most famous for unique geological features called fairy chimneys. The large, cone-like formations were created over time by erosion of the relatively soft volcanic ash around them. Past cultures have dug into them to create dwellings, castles (like Uchisar) and even entire underground cities like Kaymakli and Derinkuyu, used as hiding places by early Christians. Nearby Kayseri is the gateway to the area.

The first time you go to New York, go ahead and be a sight-seer—everyone should visit the Statue of Liberty, the Met, Times Square, etc. But on a return trip, pick a neighbourhood and go deep. You’ll find hole-in-the-wall bars, great delis, quirky shops… exploring the non-touristy side of New York is an incredibly rewarding experience for a traveller.

We won't lie: Niagara Falls is uber-touristy. There are wax museums and a Ripley's Believe It or Not Museum, and if it's a fast-food chain, you can probably find it here. But even the most jaded hipster shouldn't pass up a chance to visit this town, because the Falls themselves are spectacular.