This compact Scottish city is perfect for exploration by foot — travellers can easily find their way from the lovely River Ness to historic Inverness Castle and St. Andrews Cathedral, and beyond to the events at Eden Court and the busy Victorian Market. It’s also an ideal base for exploring the Highlands, with the mysterious Loch Ness (and famed local resident Nessie), Culloden Battlefield and the Bronze Age Clava Cairns just a quick drive away.

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.

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.

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.

We hear the question, "What’s the next Prague?" a lot. But while we’re all for discovering great new destinations, we hardly think Prague is over. Sure, everyone’s heard of it, but it’s still a grand city with extraordinary historic and cultural sights, and it’s definitely worth a visit. The often-rebuilt Prague Castle has overlooked the city since the 9th century, and the synagogues and cemetery of the Jewish Quarter are must-sees. Nightlife here is diverse and plentiful, from trendy clubs to sophisticated wine bars to late-night cellar bars.

Everyone’s heard the Doors of Paradise, the Duomo, and Michelangelo’s David are captivating, but in Florence, beauty can sneak up on a traveller unexpectedly. You’ll duck into a random church to escape the heat only to spend two hours staring at an impossibly pure blue in a fresco. Or you’ll consider writing a sonnet about pear gelato. It’s just that kind of place. Don't miss the sunset over the Arno and the famous wines of the Chianti region just south of town.

Over 15 million gallons of water bubble daily into Budapest's 118 springs and boreholes. The city of spas offers an astounding array of baths, from the sparkling Gellert Baths to the vast 1913 neo-baroque Szechenyi Spa to Rudas Spa, a dramatic 16th-century Turkish pool with original Ottoman architecture. The "Queen of the Danube" is also steeped in history, culture and natural beauty. Get your camera ready for the Roman ruins of the Aquincum Museum, Heroes' Square and Statue Park, and the 300-foot dome of St. Stephen's Basilica.

The political, scientific, historical, architectural and business centre of Russia, Moscow displays the country's contrasts at their most extreme. The ancient and modern exist side by side in this city of 10 million. Catch a metro from one of the ornate stations to see Red Square, the Kremlin, the nine domes of St Basil's Cathedral, Lenin's Mausoleum, the KGB Museum and other symbols of Moscow's great and terrible past, then lighten up and go shopping in Boulevard Ring, or people-watch in Pushkin Square.

Cairo’s an ancient city that also happens to be a modern metropolis—it’s one of the biggest cities in the Middle East and has the traffic and noise issues to prove it. But as long as you’re not looking for solitude, Cairo—the City of the Thousand Minarets—is a splendid place to explore Egyptian history and culture. (Editor's note: Our list was compiled before political unrest prompted many countries to issue travel warnings for Egypt. If you're currently planning a trip to Egypt, please consider the risks and monitor your government's travel alerts.)