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.

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.

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.

The people of Tamil Nadu consider providing food to others a service to humanity. Thus the service in the state capital, Chennai, is first-rate. Treat your senses to some of the richest South Indian flavours in traditional dishes like sambar, rasam, fish curry or kootu. And don't forget to have a cup of full-bodied Tamil coffee, enhanced with chicory—no visit is complete without it.

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.

Located near the National Capital Region of Delhi, this upcoming district houses numerous multinational companies and as a result, has plenty of tourist-friendly malls, hotels and restaurants. The area's top attraction is the Sheetla Mata temple, a popular pilgrimage site named for the Indian goddess who could dispel small pox; a festival is held there in March and July. For a more rural setting, visit nearby Sohna, which is surrounded by ancient ruins and known for its hot springs.

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.

The valley of Kashmir is as rich with history and political controversy as it is with culture and natural phenomena. Sample exquisitely spiced native cuisines and festive teas, then walk off your meal along the rugged trekking routes to the north. Marvel at the famous houseboats of Srinagar and take a spiritual moment to reflect at one of the many pilgrimage sites and religious shrines that dot the region. Of course, native craftsmanship makes for excellent souvenirs—carpets and textiles are an especial shopping must.

Every winter, Gulmarg is overrun with skiers hoping to catch some of the best powder in India. But it’s more than just a winter destination—spring and summer transform the slopes into lush flower-dotted meadows with clear views of the Himalayas all around. You can hit the links at one of the highest golf courses in the world, make a wish at the sacred Baba Reshi Shrine, and ride the Gulmarg Gondola (another highest in the world) for even better panoramic views.