Poised on the banks of the Brahamputra River, this rapidly growing city provides a link to seven other northeastern states. Its hills hold a 10th-century temple dedicated to the goddess Kamakhya and an ancient seat of astronomy known as Navagraha, the temple of the nine planets; the small Umananda temple, dedicated to Lord Shiva, is on an island in the river. The area around the city contains wildlife sanctuaries, archeological ruins and a silk-weaving center.

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.

Kodaikanal has an endangered animal called the grizzled giant squirrel. To us, that alone is reason to book a trip ("grizzled giant squirrel" might be the best animal name ever). Perched on the woodsy southern crest of the Palani Hills, nearly 7,000 feet above sea level, this popular lakeside resort town is a magnet for nature lovers. Wander the peaceful slopes, keeping an eye out for birds, exotic flowers and, of course, grizzled giant squirrels.