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.

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.

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.

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.

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.

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.)

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.

It’s nicknamed the Eternal City for a reason. In Rome, you can drink from a street fountain fed by an ancient aqueduct. Or see the same profile on a statue in the Capitoline Museum and the guy making your cappuccino. (Which, of course, you know never to order after 11 am.) Rome is also a city of contrasts—what other place on earth could be home to both the Vatican and La Dolce Vita?