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.

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.

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.

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.

Udaipur, known as the Venice of the East, boasts several sparkling lakes against a backdrop of the Aravail hills. Jag Niwas and Jag Mandir, islands in Fateh Sagar Lake, are the site of Udaipur Solar Observatory and Nehru Garden. Famous palaces include the magical Lake Palace, now a luxurious five-star hotel, and the massive City Palace on Pichola’s east bank, featuring epic courtyards and stunning paintings.