The capital of North Rhine-Westphalia, Dusseldorf is a regional economic powerhouse straddling the banks of the Rhine River. Altstadt is not just Dusseldorf's lovely old town, but also where the city's nightlife is based and where Altbier, its native dark beer, is plentiful. Dusselforfians take their beer seriously. Königsallee (Ko to the locals), Dusseldorf's famous shopping street, has many high-end stores. And the Museum Kunst Palast has one of the Rhineland's best art collections.

There are 2,000 years of history in Cologne, and visitors here will find everything from Roman towers to Gothic churches to fine examples of modern architecture. Cologne has a variety of museums, too—check out the Museum of Applied Art, the Museum Ludwig and, if you have a sweet tooth, the Chocolate Museum. Be forewarned, though—the gift shop at the latter will utterly ruin your diet.

Though probably best known as the capital of West Germany from 1949 to 1990 (and of reunified Germany until 1999), Bonn actually has a history dating back to the 1st century BC. Roman soldiers were stationed here and the largest known Roman fort was built at Bonn. In medieval times, the town gained prominence when the Archbishop of Cologne transferred his seat to Bonn. The city's most famous son is Ludwig van Beethoven, born in 1770 at Bonngasse, where a museum now honors him.

Eindhoven is one of the oldest cities in the Netherlands, but you’d never know it from the high-tech industry and cutting-edge design it’s currently known for. If you have kids obsessed by all things wheeled, they will love the trucks at the DAF Museum.

At over 2000 years old, Nijmegen has had a pretty full life. Its transition from Roman military camp to modern municipality has not been without growing pains, but today Nijmegen is thriving, largely because of its lively student population and its status as a hub for political activism. Try to visit during the internationally popular Nijmeegse Vierdaagse four-day walking festival and the epic Zomerfeesten summer party. They happen at the same time, because why not?

The Ladakh capital city of Leh lies near the eastern parts of Jammu and Kashmir, on the crossroads of the historic "Silk Route" from Sinkiang to West Asia and to the plains of India. The humbling monasteries of Shey, Hemis, Alchi, Thikse and Lamayuru will nurture your spiritual needs, and the landscape of Leh provides for a number of adventure activities including mountaineering, white-water rafting and trekking along the Markha Valley.

As the capital of both Punjab and Haryana, Chandigarh is a principal northern city with a strong postcolonial identity. Blending modernist architecture with central-European chic and traditional culture, this green metropolis draws visitors in with its landscaped gardens, thought-provoking museums, and rich history.

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.

Mumbai (formerly known as Bombay), India, is famous for its chaotic streets. For bargains and people-watching, outdoor bazaars top the list of attractions. Popular waterfront destinations are Marine Drive, where visitors go to watch the sun set over the Arabian Sea, and the carnival-like Juhu Beach. More sightseeing options are the Gandhi Museum, in the leader's former home, and the cave temples of Elephanta Island. For tranquillity, Mumbai has many religious sites, lakes and parks.

Love garlic? You’ll love the food in Pune. Unlike other cuisines of the subcontinent, Pune cuisine relies heavily on the aromatic bulb. Soothe your palate with sweets like bhakarwadi, a pastry rolled with coriander, tamarind and sesame seeds, or cool off with a thick milkshake made with dried fruit.

East meets West in this sun-soaked state, where Indian culture intertwines with Portuguese influences left over from a 500-year occupation. The beaches have long served as a magnet for serene hedonists. To the north, the tourist-centric scene is prevalent, with an international flair that is now skewing more hip than hippie. Travel south for stretches of unspoiled sand and an escape from large resorts. Temples, mosques and wildlife sanctuaries provide diversions from the beach.

Known as both the "Garden City" and "The Silicon Valley of India," Bangalore (officially "Bengaluru") is a techie’s paradise, boasting the highest concentration of IT companies in the country. When you’re done geeking out, there are plenty of gardens, museums, natural features, palaces and temples to fill your dance card. Visit Vidhana Soudha, Cubbon Park and the Ulsoor Lake of Bangalore, well known for its beautiful locales and boating facilities. Bangalore is also a major centre of Indian classical music and dance, and of vivid, cutting-edge nightlife.