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.

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.

If you like Art Deco architecture, you must visit Napier. The town was completely destroyed by an earthquake in 1931, then completely rebuilt in gorgeous Art Deco style. A number of local wineries also offer tours and tastings.

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. 

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.

Residents of East Java’s steamy capital know how to catch a breeze—whether they’re lounging at rooftop bars or exploring side streets on bicycle-powered rickshaws. While the historic trading port bustles with modern commerce, ancient cultures mingle in the Arab Quarter and Chinatown.