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.

Set in the spectacular hills of the lower Himalayas, about 31 miles from Jammu, this small town serves as a jumping-off point for one of the world's great pilgrimages. Indian spiritual legend says that those who visit the holy cave shrine of Mata Vaishno Devi will be granted any righteous wish they make. Devotees hike roughly eight miles to the shrine, which is located at 5,300 feet. Scenic helicopter flights also transport visitors to the site, which draws more than five million people annually.

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.

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.

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.

Dubai is a destination that mixes modern culture with history, adventure with world-class shopping and entertainment. Catch a show at the Dubai Opera, see downtown from atop the Burj Khalifa and spend an afternoon along Dubai Creek exploring the gold, textile and spice souks. If you’re looking for thrills, you can float above the desert dunes in a hot air balloon, climb aboard a high-speed ride at IMG Worlds of Adventure or skydive over the Palm Jumeirah.

Atmospheric backstreets paint a very different picture to first impressions of Abu Dhabi. The often slick and modern capital of the U.A.E. presents a fascinating mixture of tradition and progression. Tracing its rich history back to around 3000 B.C., Abu Dhabi maintains a more distinctly Arabian ambiance than glitzy Dubai. Taxis are a safe, reliable way to get around sites such as The Corniche Park, the White Fort, the Heritage Village, which offers glimpses into Bedouin life, and the Women's Craft Centre.

Want to make your co-workers insanely jealous? Just casually drop "I’m holiday making in the Maldives this year" into conversation, preferably in the dead of winter. Or better yet, go there without mentioning it to anyone—then send them a "Wish you were here!" postcard.

The prophet Mohammed's birthplace is Islam's spiritual center and is strictly off-limits to non-Muslims. The pillars of Islam state that all Muslims with the means must undertake Hajj, a pilgrimage to Mecca, once in their lifetime. Those who visit the holy city are rewarded not just by proximity to landmarks and religious sites crucial to the religion, such as the Masjid Al Haram (Holy Mosque), the Mountain of Light, the Black Stone and the Well of Zamzam, but with the forgiveness of all their sins.