Srinigar is a modern waterworld, dominated by Dal Lake and its twisting waterways, tree-lined Nagin Lake, and the Jhelum River. Engulf yourself in local culture by embracing your sea legs and renting one of the wooden boats called shikaras for a daytime or twilight cruise. On land, stroll through the terraced hillsides of the 400-year-old Mughal Gardens, created by Emperor Jehangir for his wife, and shop for indigenous crafts like hand-woven silks and embroidered shawls.

Established in the Himalaya foothills by a British Army officer in 1820, the "Queen of the Hills" stands above the rest with its deep woods, favorable climate and Doon Valley views. Its name is derived from the berry-covered Mansur shrub found in abundance around this trekker-friendly area. Vestiges of its colonial past are still reflected in the cuisine and architecture. For stunning natural sights, head to Gun Hill or Childer's Lodge, the two highest peaks, or the famous Kempty waterfall.

The holy city of Rishikesh, in the base of the Himalayas, holds deep cultural and spiritual significance for local Hindus. Sacred rivers and mountains set the scene for yoga and reflective hikes, and rafting here is an absolute must. The Beatles got in touch with their Eastern spiritual side here, writing several songs during a 1968 stint at a local ashram.

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.

Darjeeling, nestled among rolling mountains, is a perfect destination for outdoor enthusiasts. Popular places to visit include Tiger Hill, Batasia Loop and the War Memorial, and the Himalayan Zoological Park and Snow Leopard Breeding Center. What should you bring home? Tea, tea, and more tea—and beautiful local handicrafts.

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.

Coastal charm meets cultural heritage in the sacred city of Puri, where pilgrims flock annually to celebrate the Ratha Yatra. Besides world-famous temples, Puri boasts beaches and markets that buzz year-round, while the wetland landscape beyond the city retains its wild edge.

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.

Look for spicy dishes flavoured with tamarind and coconut in Kochi, and don’t be surprised if your dinner is served up on a banana leaf. The region is a major banana-growing area, and traditional Kochi cuisine employs the fruit in many dishes, both sweet and savoury. Coconut water provides a refreshing and sweet contrast to the piquant food.