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.

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.

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.

Maybe your local zoo has lions, leopards, zebras or elephants. Maybe they even have wildebeest. But we bet they don't have 1.3 million wildebeest—never mind 1.3 million wildebeest in migration, with predators in hot pursuit. It's one of the most awesome sights in nature, and you can see it at Masai Mara in southwestern Kenya.

The Maasai call the plains of Serengeti National Park "the place where the land moves on forever"—so prepare to be astonished by its vastness. And here, you can witness the famous Serengeti annual migration, the largest and longest overland migration on earth.