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.

The Māori call Auckland Tāmaki Makaurau — a maiden desired by 100 lovers, and a valuable territory fought over for centuries for its fertile land and natural harbours on the Pacific Ocean (to the east) and Tasman Sea (to the west). Today, it’s New Zealand’s largest city: A vibrant and diverse place where nature and urban life go hand-in- hand, with 48 volcanic cones, more than 50 islands, and 29,000 km of coastline and beaches just minutes away from the arts and shopping of the central city.

Staggering beauty and heart-pumping thrills await in the resort town of Queenstown, which is also known for its Hobbits—much of the Lord of the Rings trilogy was filmed in the area. Outdoor enthusiasts flock to Queenstown for the kayaking, bungee jumping, jetboating, white-water rafting, hiking and skiing. More mild-mannered adventurers can take a quiet cruise through nearby Milford Sound, part of the Fjordland National Park World Heritage area, or sample South Island pinot noir from one of the region's 75 wineries.

Bubbling mineral springs and pools promise maximum relaxation in Rotorua, on New Zealand's North Island. Therapeutic hot mud pools, dramatic geysers and a buried village are within easy reach of the city. What happens in the bubbling mud geysers of "Rotovegas"—the area at the top of Fenton Street—stays in Rotovegas. Once you've made the most of the mud, soar nearly 2,000 feet on the Skyline Gondola for views of Lake Rotorua, then zip back down to explore the lake by paddle steamer, fishing charter or WWII amphibious vehicle.

Wellington boasts a compact downtown area that’s easy to explore on foot and a wealth of architectural styles, from 19th-century wooden cottages to Art Deco masterpieces. Discover the city’s Maori roots at the Museum of Wellington City & Sea and the Museum of New Zealand. Sip coffee and people-watch in lively Courtney Place, or survey the city from scenic Mount Victoria. When the sun goes down on Windy Wellington, take a nocturnal tour of Karori Wildlife Sanctuary to meet some colourful inhabitants.

Rare yellow-eyed penguins, fur seals and the world's only mainland albatross colony share residence in Dunedin, New Zealand's oldest city. When you're not watching wildlife, this South Island Otago Coast town also boasts impressive historic architecture from its days as a gold-rush mecca. Visit the 1906 Flemish Renaissance railway station or the country's largest center of higher learning, which resembles Glasgow University, thanks to the area's early Scottish settlers.

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.

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.