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.

Australia’s third-largest city, Brisbane is the hub of Queensland culture, offering a peek at the past and a glimpse into the future. Visit the historic Windmill and Old Commissariat Store, built by convicts in 1828, or fast-forward to the present (and beyond) with a trip to the new Gallery of Modern Art. Mingle with locals atop Mount Coot-tha, cruise the Brisbane River to South Bank’s sandy beach on the City Cat and make sure to fill the cuteness quota at Lone Pine Koala Sanctuary, home to koalas and kangaroos. 

Perched on the banks of the wide Swan River, between the Indian Ocean and the sands of the Nullarbour Desert, Perth is one of the world's most isolated cities, yet still boasts an active beach scene and smokin’ nightlife. Family-friendly Cottesloe is brimming with swimmers, surfers and snorkelers. Head north to Scarbourough for a spirited beachside club scene. Coo at cute marsupials on ferry-accessible Rottnest Island, and don’t miss the views from King's Park and Botanic Gardens.

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.

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.

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.

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.

Regardless of season, it's hard not to succumb to romance as you wander Kyoto's atmospheric streets, gaze at the glimmering Kinkaku-ji Pavilion, enjoy the traditional dances of the geisha or feast at restaurants over the Kamo River. Only Rome has more World Heritage Sites than the former Japanese capital. But happily unlike Rome, Kyoto maintains its calmness and romance even among throngs of summer tourists. (Editor's note: Our list was compiled before Japan's devastating earthquake of March 11, 2011. Kyoto did not sustain major damage, but we encourage all travellers to Japan to monitor travel alerts from their government.)