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".

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.

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.

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.

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.

Dubai is a destination that mixes modern culture with history, adventure with world-class shopping and entertainment. Catch a show at the Dubai Opera, see downtown from atop the Burj Khalifa and spend an afternoon along Dubai Creek exploring the gold, textile and spice souks. If you’re looking for thrills, you can float above the desert dunes in a hot air balloon, climb aboard a high-speed ride at IMG Worlds of Adventure or skydive over the Palm Jumeirah.

The holy city of Rishikesh, in the base of the Himalayas, holds deep cultural and spiritual significance for local Hindus. Sacred rivers and mountains set the scene for yoga and reflective hikes, and rafting here is an absolute must. The Beatles got in touch with their Eastern spiritual side here, writing several songs during a 1968 stint at a local ashram.

Laid out by British architect Edwin Lutyens, the Indian capital is a striking modern metropolis. A gracious contrast to Old Delhi's winding streets, the grand avenues and stately buildings of New Delhi are rich with history and culture, from Gandhi's Delhi home (and the site of his assassination) to the tomb of Humayun, a complex of Mughal buildings reminiscent of the Taj Mahal. Chaotic traffic is best left to the locals. Negotiate a good price for taxis or travel on the new Delhi Metro.

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.

Mumbai (formerly known as Bombay), India, is famous for its chaotic streets. For bargains and people-watching, outdoor bazaars top the list of attractions. Popular waterfront destinations are Marine Drive, where visitors go to watch the sun set over the Arabian Sea, and the carnival-like Juhu Beach. More sightseeing options are the Gandhi Museum, in the leader's former home, and the cave temples of Elephanta Island. For tranquillity, Mumbai has many religious sites, lakes and parks.