The Blue Mountains are named for the delicate azure haze that lingers along the region, which is actually a fine cloud of oil emitted by eucalyptus trees. The mystical mountains are a labyrinth of plateaus, gorges and gum trees. Check out the Katoomba Scenic Railway (the steepest railway in the world), the Jenolan Caves and the Giant Staircase nature walk.

Bordering Australia’s New South Wales' coast, just north of Sydney, sunny-natured Newcastle is anchored in indigenous and convict history. Surfing beaches, hand-cut sea pools, a coastal fort, and contemporary bars skirt the city’s harbour, while museums, artisanal restaurants, and microbreweries lie at its heart.

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.

Perched on Tasmania’s southeastern coast, the lively city of Hobart is a unique mash-up of the 19th and 21st centuries. The waterfront cafes, restaurants and studios of the largest city in Tasmania are housed in centuries-old converted warehouses that overlook a harbour bustling with yachts and fishing boats. An active arts scene, vibrant nightlife and leisurely daytime pace add to the city’s charm.

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.

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.

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.

The village cluster of Ubud is the ideal place to try a famed Balinese massage and soak up the ambiance of one of Asia’s top spa destinations. Acupressure, reflexology, stretching and aromatherapy star in the island's distinctively firm massage treatments. Ubud is also the vivacious centre of Bali’s arts scene, home to a small treasure trove of museums and galleries. Monkey around at nearby nature reserve Monkey Forest Park, home to hundreds of mischievous long-tailed macaques. Don’t miss the valley of tomb cloisters at Gunung Kawi.

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.