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".

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.

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.

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.

Edinburgh is Scotland’s capital city, renowned for its heritage, culture and festivals. Take a long walk around the centre to explore the World Heritage Sites of the Old Town and New Town, as well as all the area’s museums and galleries. Then stop for a delicious meal made from fresh Scottish produce before heading out to take in one of Edinburgh’s many events — including the famous summer festivals of culture, or the Winter Festivals of music, light and ceilidhs.

We hear the question, "What’s the next Prague?" a lot. But while we’re all for discovering great new destinations, we hardly think Prague is over. Sure, everyone’s heard of it, but it’s still a grand city with extraordinary historic and cultural sights, and it’s definitely worth a visit. The often-rebuilt Prague Castle has overlooked the city since the 9th century, and the synagogues and cemetery of the Jewish Quarter are must-sees. Nightlife here is diverse and plentiful, from trendy clubs to sophisticated wine bars to late-night cellar bars.

The 1000-year-old Norwegian capital sits at the head of Oslo Fjord. This stunning setting gives hints of the wild wonders that lie just beyond the city. From taking in visual delights at Vigeland Sculpture Park, the Viking Ship Museum, the Munch Museum and Holmenkollen, to the challenging content within the new Nobel Peace Centre and the Holocaust Centre, Oslo offers plenty of food for thought. The Oslo Pass allows free travel on public transport, free parking and many museum and sight admissions.

Over the centuries, many cultures have added their mark to this prized piece of land. Today, you can experience those influences firsthand by exploring Istanbul’s mahalles (neighbourhoods). From the holy sites of Sultanahmet and the 19th-century European elegance of Beyoğlu to the high fashion of Nişantaşı, the vibrant café society of Kadıköy and the football-loving streets of Beşiktaş, it’s easy to see why travellers say that Istanbul isn’t just one city, but many cities within one.

Known as the safari capital of Africa, Nairobi is an energetic, modern city that serves as a fascinating introduction to both wildlife and nightlife. Music clubs pulse with life, shops and markets bustle, and a mélange of restaurants will tempt your palate in this former Maasai watering hole. Top sights include the Karen Blixen Museum, Giraffe Centre and the black rhinos of Nairobi National Park. The compact city centre is safe to walk in and taxis make other areas accessible.