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.

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.

Famed for its football team and music scene, which has produced the likes of The Smiths and Oasis, this centre for sports and the arts is a down-to-earth and friendly city. The so-called Capital of the North has overcome industrial decline, bombing (in WWII and by the IRA) to become a confident and cosmopolitan city of well over two million. It is well served by a bus and light rail network. Top attractions include the Lowry art complex, arcade Affleck's Palace and Canal Street gay village.

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.

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.

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".

Munich was almost completely destroyed in two world wars, yet it's managed to recreate much of its folkloric, Bavarian past. Oktoberfest is legendary, but you can visit the Hofbrauhaus any time of year for an immense beer. Olympiapark, the site of the 1972 games, is not to be missed (you can skate on the Olympic ice rink and swim in the pool). On a somber note, take time to visit the concentration camp at Dachau—it's an intense, yet unforgettable, glimpse into the not-too-distant horrors of the Holocaust.

If you currently think your neighbourhood coffee shop is nice, you might want to stay out of Vienna’s coffeehouses. After you’ve gotten used to these palatial, yet welcoming cafes—and their delicious coffee and Sacher torte—your local café will pale in comparison. Between coffee breaks, visitors can explore Vienna’s Schonbrunn Palace and Imperial Palace. And if you have a chance, catch a performance at the State Opera House—it’s not to be missed.