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.

Unassuming Brussels is the capital of Belgium, Flanders and Europe. Medieval Grand-Place is indeed grand, with many 17th-century buildings and daily flower markets. Reopened in 2006, the Atomium, Brussels' Eiffel Tower, provides great views, both inside and out. Architecture fans should visit the Musée Horta, home of Belgian master architect Victor Horta. St Gery's clubs and bars are packed all year round. Seafood eateries abound in Ste Catherine. Exploring the narrow streets on foot is more fun than getting snarled up in traffic.

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.

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.

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".

Originally founded as a Roman city and now home to three UNESCO World Heritage Sites, Seville is bursting with antique charm. The Alcazar palace complex is a stunning collage of architectural styles, and the Cathedral will impress you with its beauty and its status as the burial site of Christopher Columbus. The Metropol Parasol is the world’s largest wooden structure, a massive mix of grids and swirls that contains a market and a terrace observatory.

Once known for smog, traffic and tacky architecture, Athens is a city reformed thanks to fortunes brought by the 2004 Summer Olympics. Spotless parks and streets, an ultra-modern metro, new motorways, an accessible airport and all signs in perfect English make the city easily negotiable. Meriting more than a stopover en route to the islands, sophisticated Athens sites include many pillars of Western history, from the Acropolis to the Temple of Olympian Zeus, as well as treasures in the National Archaeological Museum.

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.

Lying in south central Turkey, the moonscaped region of Cappadocia, southeast of Ankara, is most famous for unique geological features called fairy chimneys. The large, cone-like formations were created over time by erosion of the relatively soft volcanic ash around them. Past cultures have dug into them to create dwellings, castles (like Uchisar) and even entire underground cities like Kaymakli and Derinkuyu, used as hiding places by early Christians. Nearby Kayseri is the gateway to the area.

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.