Located in northern Italy’s mountainous Trentino-Alto Adige region, Trento is known for its architectural and historical gems, including Buonconsiglio Castle and Trento Cathedral. It’s also popular among hikers after a passport to the lofty Brenta Dolomites.

Snowboarders are an afterthought at a lot of resorts, but they get plenty of attention at this destination in the Italian Alps. Gold medalists regularly practice their spins and flips at the expert-level Mottolino Snowpark on the eastern slopes. Across the valley, Carosello 3000 has a terrain park for intermediate freestylers. The ski runs are challenging, but not too challenging, with only a handful of truly difficult patches. Because the slopes are so forgiving, Livigno is a great place to try off-piste skiing and snowboarding. The village soaks up the sun all winter long, so the main drag is always full of strollers. This is also a duty-free zone, with tons of shops catering to bargain-hunters.

If you’re after a winter sports holiday, you can’t find a more gorgeous place to do it than Interlaken, the popular Swiss resort town. There’s superlative skiing, toboggan rides, miles of sledding tracks (which, like the ski slopes, vary in difficulty), snowboarding… all with amazing views of the mountains. In summer, hike among the ibex at nearby Neiderhorn, or shop for watches in the town’s boutiques.

The largest city in Switzerland is a major contemporary art and shopping destination. Important artworks are displayed in the Kunsthaus and the Rietberg Museum. Those who consider shopping an art can hone their skills along Bahnhofstrasse and Niederdorf. Chagall's stained-glass windows in the Fraumünster amaze. Zurich's 500 clubs and bars, including several in swimming pools, pulse with life till the early hours. This city on Lake Zurich has excellent public transport and a free bike-hire system.

One of the most heart-pumping stretches of the Tour de France is always the 21 hairpin curves at L'Alpe d'Huez. Doesn’t sound so hard? They bike up the mountain. Every summer, hundreds of amateur cyclists flock to this resort in the French Alps and make the same climb. It’s more famous as a warm-weather destination, but L'Alpe d'Huez is also one of Europe’s top ski destinations. The nearby slopes appeal to beginners, but they get more challenging a bit farther away. More experienced skiers and snowboarders can literally travel for miles on some of the most challenging runs. And there are plenty of off-piste areas, too.

Everyone who visits Paris for the first time probably has the same punchlist of major attractions to hit: The Louvre, Notre Dame, The Eiffel Tower, etc. Just make sure you leave some time to wander the city’s grand boulevards and eat in as many cafes, bistros and brasseries as possible. And don’t forget the shopping—whether your tastes run to Louis Vuitton or Les Puces (the flea market), you can find it here.

Norwich boasts museums spanning a ten centuries of history as well as a renovated city center with a pleasant pedestrian area lined with modern businesses and thriving nightlife. With two colleges, both with renowned art and writing programs, travelers will also step into a vibrant cultural scene. Tourist sites, dubbed the Norwich 12, include the historical Norwich Castle, Norwich Cathedral and City Hall, as well as the newer library and the glass Forum which hosts events from opera to skating.

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.

Tallinn's atmospheric Old Town is an enthralling hotchpotch of medieval streets and spires. It's a small city, and the tourist areas are safe and easily explored on foot. Buy a Tallinn Card if you intend to use buses, trolleybuses or trams. For a look into Tallinn's past, visit Rocca-al-Mare Open Air Museum's typical rural Estonian taverns, windmills and watermills, see the onion-domed 1900 cathedral or join the bustle in historic Town Hall Square. St Olav's spire was once the tallest in the world.