Lovely, laid-back Melbourne has something for everyone: family fare, local and international art, haute boutiques, multicultural dining, Australian and Aboriginal history, spectator sports, and pulsing, swanky nightlife. Cruise on the free City Circle Tram loop to check out unique attractions like the Royal Botanical Gardens and the Healesville Sanctuary, which buzzes with local animal species.

One of the largest towns and most visitors’ first stop on Fiji, Nadi is a culturally diverse city of 30,000. Nadi Beach is a wide strand, perfect for lazing in the sun and watching sunsets. Nearby Natadola Beach is Fiji’s most spectacular and is popular for swimming and body surfing. Other paces to visit in Nadi include Sri Siva Subramaniya, the largest Hindu temple in the Southern hemisphere, the Sleeping Giant orchid gardens and Waqadra Botanical Gardens.

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.

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.

Vietnam's bustling largest city sets the cultural and economic pace for the country. The former Saigon boasts charming French colonial architecture and wide boulevards, usually thronged and choked with traffic. Taxis are an option for seeing the sprawling city. The War Remnants Museum shows the Vietnam War through Vietnamese eyes. Don't miss the impressive Jade Emperor Pagoda. Go to the frenetic Ben Thanh Market for food, flowers or frogs. Tour through the Mekong Delta, past rice paddies and houseboats.

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.

Home to nearly nine million and powering an economy that exceeds both Hong Kong's and Thailand's, Osaka packs quite a punch. The confident, stylish city is a shopping hub, with fabulous restaurants and nightlife. It's an ideal base for exploring the Kansai region: Kyoto's World Heritage Sites, Nara's temple and Koya-san's eerie graves are within 90 minutes by train. Top city attractions include the aquarium, Osaka Castle, Universal Studios Japan and the futuristic Floating Garden Observatory.

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.