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.

If you’re after a winter sports holiday, you can’t find a more gorgeous place to do it than Interlaken, the popular Swiss resort town. There’s superlative skiing, toboggan rides, miles of sledding tracks (which, like the ski slopes, vary in difficulty), snowboarding… all with amazing views of the mountains. In summer, hike among the ibex at nearby Neiderhorn, or shop for watches in the town’s boutiques.

Many people travel through Frankfurt for business, as it's a major transportation hub and an industrial and financial metropolis. Of course we know that business travellers hate to have any fun on the road (wink), but it's worth lingering in Frankfurt if you can. The 2,000-year-old city has much to offer: skyscrapers, the Main River, a famous opera house, thriving theatre district, zoo, pedestrian shopping street, parks, scores of bars and dance clubs, and more than 50 museums.

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.

Strung below craggy mountains, the Omani capital of Muscat is one of the Middle East’s oldest and most picturesque cities. Between its corniches and modern quarter are Portuguese-built forts, blue-domed mosques, royal palaces, and souks, all heavy with the sense of a lost Arabia.

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.

Nepal's capital is situated in a valley full of historic sites, ancient temples and shrines, golden pagodas and fascinating villages. Hotels, bars and restaurants cater to all budgets. Shops offer handicrafts, carpets and Nepali paper prints. Bus services, taxis and bicycles open up the city. Trek to see the Monkey Temple, the valley's oldest and most sacred shrine. Mingle with locals and animals amid Durbar Square's monuments and temples, or join mountain trekkers in the bustling Thamel District.

Want a taste of being royal? Eat in Hyderabad, where culinary traditions have been passed down from the Nizam monarchy. Arabic, Turkish and Mughlai influences are easily recognisable. The city is famous for its rich, aromatic biryani made with lamb, chicken or vegetables and served with fragrant basmati rice. Satisfy your sweet tooth with double-ka-meetha, a bread pudding.

The first time you go to New York, go ahead and be a sight-seer—everyone should visit the Statue of Liberty, the Met, Times Square, etc. But on a return trip, pick a neighbourhood and go deep. You’ll find hole-in-the-wall bars, great delis, quirky shops… exploring the non-touristy side of New York is an incredibly rewarding experience for a traveller.