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.

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.

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.

Edinburgh is Scotland’s capital city, renowned for its heritage, culture and festivals. Take a long walk around the centre to explore the World Heritage Sites of the Old Town and New Town, as well as all the area’s museums and galleries. Then stop for a delicious meal made from fresh Scottish produce before heading out to take in one of Edinburgh’s many events — including the famous summer festivals of culture, or the Winter Festivals of music, light and ceilidhs.

It’s nicknamed the Eternal City for a reason. In Rome, you can drink from a street fountain fed by an ancient aqueduct. Or see the same profile on a statue in the Capitoline Museum and the guy making your cappuccino. (Which, of course, you know never to order after 11 am.) Rome is also a city of contrasts—what other place on earth could be home to both the Vatican and La Dolce Vita?

You've probably heard that Guinness tastes better in Dublin (fresh from the factory), but what you may not know is that Dublin is a perfect destination for the whole family. No, we're not suggesting you let the kiddies drink a pint. Instead, take them to the Dublin Zoo, to feed the ducks in Stephen's Green or on a picnic in Phoenix Park. Scholars enjoy walking in the literary footsteps of such writers as Yeats and Joyce, while discerning shoppers have their pick of designer boutiques.

Stroll Las Ramblas and enjoy Barcelona's unique blend of Catalan culture, distinctive architecture, lively nightlife and trendy, stylish hotels. You'll find Europe's best-preserved Gothic Quarter here, as well as amazing architectural works by Gaudi. La Sagrada Familia, considered Gaudi's masterpiece, is still under construction (your entrance fee helps to fund the project). Feel like a picnic? Look no further than the rambunctious La Boqueria market, where you can stock up on local delicacies.

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.

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.

Laid out by British architect Edwin Lutyens, the Indian capital is a striking modern metropolis. A gracious contrast to Old Delhi's winding streets, the grand avenues and stately buildings of New Delhi are rich with history and culture, from Gandhi's Delhi home (and the site of his assassination) to the tomb of Humayun, a complex of Mughal buildings reminiscent of the Taj Mahal. Chaotic traffic is best left to the locals. Negotiate a good price for taxis or travel on the new Delhi Metro.