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.

This former British colonial stronghold boasts evidence of over two millennia of habitation, with ornate, architecturally diverse buildings, ranging from crumbing ruins to Victorian treasures. Home to lively festivals and a vibrant artistic community, clamorous markets and packed temples, this city is crowded and polluted, but ultimately invigorating.

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.

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 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.

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.

Bangkok is full of exquisitely decorated Buddhist temples—as you go from one to the next you’ll be continually blown away by the craftsmanship and elabourate details. But if you’d rather seek enlightenment in a gourmet meal, or dance the night away, you’ll also enjoy Bangkok—the restaurant and nightclub scenes here are among the best in the world.

A visit to Pattaya is a wonderful way to explore the beaches along the Gulf of Thailand. Relaxed and family-friendly Jomtien Beach is a hot spot for watersports and seaside massages. The giant Buddha of Wat Khao Phra Bat keeps watch over the city, and the wooden Wang Boran Sanctuary of Truth pays homage to Buddhist and Hindu art and architecture. At night, tons of bars and strip clubs attract an adults-only crowd.

Singapore is known as a bustling metropolis that also happens to be one of the cleanest and safest cities of its size in the world. (Just make sure you heed the local laws—something like spitting in the street might merely be considered rude in your hometown, but here, it carries a severe penalty.) You'll find historic sites like the Thian Hock Keng temple, superlative shopping (including gargantuan malls) and numerous beaches.