Who cares about a little fog (okay, a lot of fog) when there’s so much to do in San Francisco? By day, explore Fisherman’s Wharf and the Aquarium of the Bay, ride a cable car, and stroll around the Presidio; by night, have a fabulous dinner (at a Michelin-starred restaurant or a tiny place in Chinatown), then hit some of the best clubs on the West Coast.

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.

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.

Amsterdam is truly a biker’s city, although pedaling along the labyrinthine streets can get a little chaotic. Stick to walking and you won’t be disappointed. The gentle canals make a perfect backdrop for exploring the Jordaan and Rembrandtplein square. Pop into the Red Light District if you must—if only so you can say you’ve been there. The Anne Frank House is one of the most moving experiences a traveller can have, and the Van Gogh Museum boasts a sensational collection of works.

Stroll Las Ramblas and enjoy Barcelona's unique blend of Catalan culture, distinctive architecture, lively nightlife and trendy, stylish hotels. You'll find Europe's best-preserved Gothic Quarter here, as well as amazing architectural works by Gaudi. La Sagrada Familia, considered Gaudi's masterpiece, is still under construction (your entrance fee helps to fund the project). Feel like a picnic? Look no further than the rambunctious La Boqueria market, where you can stock up on local delicacies.

Lucerne is an ancient town with strikingly modern sensibilities. One of Europe’s oldest covered bridges serves as its centrepiece, and fresco-adorned historic houses line the streets, but it’s also home to the cutting-edge KKL, a concert hall and art gallery. Take the cableways up the Pilatus, Stanserhorn or Rigi mountains for breathtaking views, or see Lake Lucerne on a steamship cruise.

When most people think of Zermatt, they think of one thing: The Matterhorn. This ultimate Swiss icon looms over Zermatt, first drawing visitors here in the 1860s. The village of Zermatt itself is lovely and car-free, with old-fashioned brown chalets and winding alleys. (Don’t worry, you don’t have to walk everywhere—there are electric vehicles and horse-drawn cabs.) Skiing in the region often lasts through early summer, but when the weather’s warmer, it’s a great time to hike.

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.

History lovers should know that Milan is not all about trendy shops and designer clothes. Among the city's many historical attractions are La Scala Opera, the Milan Cathedral, the National Museum of Science and Technology and Santa Maria della Grazie, the church that preserves da Vinci's "Last Supper".

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?