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.

There are 2,000 years of history in Cologne, and visitors here will find everything from Roman towers to Gothic churches to fine examples of modern architecture. Cologne has a variety of museums, too—check out the Museum of Applied Art, the Museum Ludwig and, if you have a sweet tooth, the Chocolate Museum. Be forewarned, though—the gift shop at the latter will utterly ruin your diet.

Grindelwald is postcard-perfect, a charming example of a Swiss ski resort. There are slopes for all experience levels, plus plenty of snowy activities for those who don’t ski, such as sledding, hiking or snowshoeing. Not feeling particularly active? Just cozy up by crackling fire and enjoy the merry atmosphere. After a long day, nothing’s better than lingering over a pot of Swiss fondue and a glass of crisp wine as you plan the next day’s adventures.

A magnet for skiers and hikers, these dramatic peaks – including the iconic Matterhorn – range from 3,000 to 15,000 feet and spread across three-fifths of the country. Abundant glaciers, scenic valleys and gorgeous alpine lakes add to the region's visual appeal. The Glacier Express train travels the 7.5-hour route through the Swiss Alps from Zermatt to St. Moritz, passing through fairy-tale villages and over 291 bridges along the way.

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.

Although originally known as a summer destination, when the first snowflakes land in St-Moritz, so do the international scenesters, bundled up in the latest "must-have" accessories. In winter, take a ride on the Glacier Express from Zermatt to arrive in style. Cable cars ascend to three nearby mountain tops. Hundreds of miles of ski trails and a frozen lake comprise the area's most popular sports venues. Follow the Romans' example and try one of the city's mineral springs, such as St-Moritz Bader.