Located on the Rhine River near the borders of France and Germany, Basel contains the country's highest concentration of museums. The culture-centric city, site of the world's most influential art market each June, is also home to the lovely Munster Cathedral, made of red sandstone with a multi-colored tile roof. Green spaces abound, including the popular zoological gardens in the city center. Switzerland's largest site of Roman ruins, Augusta Raurica, are an easy day trip to the east.

A powerful force since medieval times, the thriving Swiss capital is an appealing city of museums and collections. Bernmobil is the capital's transport system; a BernCard is valid on its trams and buses. A free bike service is also an option for getting around. The Historical Museum and the Collection of the Bern Museum of Fine Arts house the art and architecture of millennia. The Einstein House and the Paul Klee Centre showcase the work of two of Bern's famous former inhabitants.

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.

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 town that gave the country (and port wine) its very name, Porto is Portugal’s second-largest metropolis after Lisbon. Sometimes called Oporto, it's an age-old city that has one foot firmly in the industrial present. The old town, centered at Ribeira, was built on the hills overlooking the Douro River, and today is a UNESCO World Heritage Site. The 14th-century São Francisco church is a main attraction, as are the local port wine cellars, mostly located across the river at Vila Nova de Gaia.

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.