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.

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.

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.

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.

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. 

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.

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.