This charming city is a UNESCO world heritage site, with a rich trading history and multicultural heritage. Melaka is a rewarding town to explore and is about two hours from Kuala Lumpur.

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.

Learn to dive, sunbathe on a sandy beach or indulge in inexpensive spa services (including amazing Thai massages) in Bophut, a beach village that recently has become home to many new hotels and villas. Try the main street for trendy shops and restaurants, or visit the Fisherman’s Village for more traditional shops.

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.

Bali is a living postcard, an Indonesian paradise that feels like a fantasy. Soak up the sun on a stretch of fine white sand, or commune with the tropical creatures as you dive along coral ridges or the colorful wreck of a WWII war ship. On shore, the lush jungle shelters stone temples and mischievous monkeys. The “artistic capital” of Ubud is the perfect place to see a cultural dance performance, take a batik or silver-smithing workshop, or invigorate your mind and body in a yoga class.

Low-key Legian is the picture of relaxation. Just about the only action the beach gets is from the evening fire spinners, whose quick hands pass orange balls of light through the sky. Surfers, body boarders and sunbathers share the calm sands happily. There are plenty of markets, cafes and restaurants to satisfy your cravings for merchandise and meals. If you itch to mingle with locals, you might be able to join in the game of football that happens nightly on Blue Ocean Beach.

The Minato district of Toyko is home to a few excellent museums, including the Nezu Museum of antiques and the Tokyo Metropolitan Teien Art Museum. Tokyo City View, an observation area on the 52nd floor of the Mori Tower, offers an amazing panoramic view of the entire metropolitan area.

About an hour south of Mombasa, the sparkling white sands and lush greenery of Diani invite you to relax under a beach umbrella with a refreshing drink. Try a camel ride for the tourist experience or book a bike tour inland for a glimpse of life in local villages. Diani is also a base for several safari companies.