Cheltenham was just your average, sleepy town until the discovery of a spring in 1716, after which it became Britain's most popular spa town. (Like Palm Springs without the casinos.) Local Cheltonians have a reputation for being wealthy and respectable, and a walk along the Promenade will give you a first-class view of their wonderful houses, shops and gardens. After taking in the waters at the Pittville Pump Room (great name for a spa), check out the Art Gallery and Museum to learn about the social history of Cheltenham.

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.

With its Romanesque architecture and cobbled lanes, hilltop Poitiers is a city steeped in history. Nonetheless, its lively student population and steady influx of theme park visitors ensure a thriving cultural scene and a centre brimming with galleries, restaurants, and terrace cafés.

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.

Lucerne is an ancient town with strikingly modern sensibilities. One of Europe’s oldest covered bridges serves as its centrepiece, and fresco-adorned historic houses line the streets, but it’s also home to the cutting-edge KKL, a concert hall and art gallery. Take the cableways up the Pilatus, Stanserhorn or Rigi mountains for breathtaking views, or see Lake Lucerne on a steamship cruise.

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.

As the island retreat of choice for European jetsetters and celebrities alike, it’s easy to see why Hvar grabs headlines. Sun-soaked beaches, lavender-scented hinterlands, and cobbled medieval towns provide a welcome change of pace from the seemingly endless choice of restaurants, bars, and nightclubs.