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.

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.

Kuta boasts the best beaches in Bali, a five-mile stretch of clean sand that is a magnet for surfers and sunbathers. When that golden sun goes down, the animals come out—the party animals, that is. Kuta nightlife is almost frantic, as global tourists bounce from restaurant to nightclub in an effort to soak up the Kuta experience like a well-dressed sponge.

The charming Vietnamese capital has aged well, preserving the Old Quarter, monuments and colonial architecture, while making room for modern developments alongside. Hanoi may have shrugged off several former names, including Thang Long, or "ascending dragon", but it hasn't forgotten its past, as sites such as Ho Chi Minh's Mausoleum and Hoa Lo Prison attest. Lakes, parks, shady boulevards and more than 600 temples and pagodas add to the appeal of this city, which is easily explored by taxi.

Hong Kong's a great city for an adventurous eater. Stop at a street vendor for fish balls on a stick or stinky tofu. Bakeries offer wife cake, pineapple buns and egg tarts. Or opt for as much dim sum as you can eat. If you're tired of local and regional Chinese specialties, check out upscale offerings from some of the world's top chefs, like Joel Robouchon and Alain Ducasse.

You can eat very well—and very cheaply—in Taipei. The restaurants may not look posh, but the quality of the food is superlative. And there’s a huge variety of restaurants—in addition to local Taiwanese specialties, you’ll find regional cuisines from all over China, as well as great Indian, Japanese and even Italian options. Just make sure to leave some room for snacks—street-vendor food here is addictive.

From modern skyscrapers and neon lights to Buddhist temples, palaces and pagodas, Seoul is a fascinating mix of old and new. A hub of business, culture and finance both within South Korea and internationally, Seoul houses the headquarters for some of the world's largest corporations. It also has one of the world's best subway systems – the easiest way to get around in this densely populated area. For the best view of the city, go to the tower on Namsan, one of the mountains that encircle the city.

Tradition collides with pop culture in Tokyo, where you can reverently wander ancient temples before rocking out at a karaoke bar. Wake up before the sun to catch the lively fish auction at the Toyosu Market, then refresh with a walk beneath the cherry blossom trees that line the Sumida River. Spend some time in the beautiful East Gardens of the Imperial Palace, then brush up on your Japanese history at the Edo-Tokyo Museum. Don’t forget to eat as much sushi, udon noodles, and wagashi (Japanese sweets) as your belly can handle.

City slickers, culture vultures and beach bums alike fall in love with Sydney. Hang ten at famed Bondi Beach or stroll the calmer sands of Coogee.  Cash burning a hole in your pocket? You’ll find great shopping in the Rocks district and along George and Pitt Streets. Climb to the top of the Harbour Bridge or take a skywalk on Sydney Tower for a 360-degree view of the city. But whatever you do, don’t leave town without cuddling the koalas in the Taronga Park Zoo—they’re ridiculously adorable.