If you’re a history buff and a die-hard foodie, Chicago’s your kind of town. Take an architectural-history walking tour, then dine at Alinea (the most celebrated molecular-gastronomy restaurant in the U.S.). And don’t miss the Museum of Science and Industry, the biggest science museum in the Western Hemisphere.

Ottawa is a compact, clean, cleverly planned centre of culture and politics. And it's an ideal choice for a weekend getaway. Start downtown at the architecturally stunning National Gallery of Canada, and don't miss the Canadian Nature Museum and the National Aviation Museum. Rideau Canal offers boating in the summer and ice-skating in the winter. Gatineau Park attracts cyclists and walkers, while Byward Market blends old and new Ottawa.

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.

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.

From Hannover’s atmospheric old town, filled with reconstructed half-timbered buildings and terrace cafes, to its baroque gardens and vast urban lake, this booming city has much more to offer than its industrial reputation suggests.

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.

Copenhagen is one of Europe’s oldest and most popular cities. It’s also one of the cleanest and most metropolitan. The dynamic Danish capital features progressive modern architecture, the must-visit Tivoli Gardens amusement park, stunning palaces, and all the activities and amenities you would expect in a world-class destination. Explore the canals and pretty narrow streets, appreciate beautiful old homes, and find great shopping and people watching on The Ströget.

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.