13-Nights Queensland and the Red Centre from $11,935

The world's largest monolith, located 280 mi/450 km southwest of Alice Springs, is a truly stunning sight, especially at sunset when its burnt-orange glow seems to set the desert on fire. Called Uluru by the Aborigines, the sandstone rock is huge (1,140 ft/350 m high, 9 mi/13 km around) and reddish brown most of the time, taking its color from iron oxide, or rust. Its presence is made more powerful by the mostly barren plain that surrounds it and disappears into the horizon. In 1985, ownership of the rock was returned to its traditional owners. It is rarely referred to as Ayers Rock anymore.

Considered sacred by the Aborigines for thousands of years, the rock is now part of the expansive Uluru-Kata Tjuta National Park, one of the country's biggest tourist attractions. The park includes the Olgas/Kata Tjuta, a cluster of 36 giant domelike rock formations about 20 mi/35 km west. If you want to visit both, plan to spend at least one night. You'll want to see Uluru at both sunset and sunrise. The Olgas are equally magnificent at both times of day. (But be prepared to jockey for position at either place; tour buses disgorge hundreds of visitors laden with binoculars, cameras and video equipment.)

Start your visit to the park with a stop at the cultural center. Run by the Anangu (a local Aboriginal clan), the center is a wonderful introduction to the unusual rock formations and to the people who lived in their harsh shadows for centuries. Aboriginal artwork and artifacts are on display. You can also see re-enactments of life in the bush and watch informative videos. Most visitors explore the rock as part of a tour led by park rangers, Anangu guides or private tour companies. But you can also pick up a printed walking guide at the cultural center and set off on your own.

Only one trail leads to the top of the rock, and it's fairly steep—those with heart conditions, high blood pressure, asthma, fear of heights or the like should remain earthbound. The Anangu prefer you walk around—not on—the rock because of its spiritual importance. If you do decide to climb it, allow two to three hours and take along a snack and plenty of water. The view from the top is spectacular, but hiking around the base is more educational and less strenuous. We suggest taking one or more of the shorter walks that pass water holes and rock paintings, allowing you to observe the rock's many faces at a leisurely pace. (Walking around the entire base of the rock takes about three hours.)

Allow at least an afternoon to visit the Olgas/Kata Tjuta. A frequent debate among visitors is whether the Olgas outshine the rock. It's a close call—the Olgas are taller, reaching 1,790 ft/545 m at the highest point. Made of conglomerate (pebbles and boulders cemented together by mud and sand), they are off-limits to climbers, but you can explore some of the valleys and chasms between the rocks.

Most visitors fly to Uluru or drive from Alice Springs. About the only place to stay in the area is the Ayers Rock Resort, or Yulara, whose five hotels and a campground can accommodate visitors in all price ranges. Longitude 131 is a magnificent safari camp with 15 luxury tents. Dozens of tours leave from Ayers Rock Resort, including sunrise camel rides around the rock, sunset champagne dinners in the desert, Aboriginal culture tours and stargazing. You can also rent a car there and explore on your own.

Because of the excessive heat in summer, the best time to visit is April-November (winter in Australia). Always take along plenty of drinking water. If you are flying to the Outback, we suggest going overland one way from Alice Springs (four to five hours) but flying the other way—the desert drive is scenic, but it can be tedious the second time around. http://www.environment.gov.au/parks/uluru.

Brisbane

Laze in the lush riverside gardens of South Bank, then browse the markets and swim in its lagoon. Bike ride in the City Botanic Gardens and abseil the cliffs of Kangaroo Point. Glide down the river on a majestic paddle steamer or take a high-speed ferry to vibrant inner-city villages like Bulimba and New Farm. When culture cravings hit, wander the art galleries and museums, watch a performance by the Queensland Ballet, Opera or Orchestra perform or see cutting-edge theatre in the Powerhouse. In the boating hub of nearby Moreton Bay and Islands, you can swim, sea kayak, snorkel coral reefs, toboggan down the world's tallest sand dune, hire a sail boat or tussle with a marlin.

Five things you should do in Brisbane:

1. Glide down the river and relax in the gardens

Bike ride beneath macadamia trees and mangroves in the City Botanic Gardens or roller blade over a floating walkway. Then cruise down the river in a wooden paddle steamer, spotting pelicans and eastern water dragons. Laze or picnic under the palms on South Bank's 17 hectares of riverside gardens. Here you can swim from the lagoon and pools of Paul Breka Beach, browse the markets, visit a summer open-air cinema and dine alfresco in the sun. Follow an Aboriginal art trail through the bushland in Mount Coot-Tha Reserve, also the place to spot native wildlife and take in panoramic city views. At the foot of the mountain you can wander the tropical zone, rainforests and Japanese gardens of the Brisbane Botanic Gardens. Cuddle up to koalas and meet possums, kangaroos, wombats, emus and lyrebirds in the Lone Pine Koala Sanctuary, just a short bus drive from the city centre.

2. Soak up culture and architecture

See the skeleton of a Queensland dinosaur in the Queensland Museum and the work of famous Australian artists in the Queensland Art Gallery. Both sit in the sprawling Queensland Cultural Centre on South Bank. At night, visit the dress circle of the Queensland Performing Arts Centre or catch a show by the Queensland Ballet, Opera or Orchestra. Watch plays, browse art galleries and dine out in the transformed industrial space of the Powerhouse, which towers over the wide, brown river like a post-apocalyptic vision. Brisbane also houses many cultural institutions in fine old civic buildings, such as Customs House, the Treasury Building, Brisbane City Hall, the Commissariat Store and the Old Mill. In Brisbane, sandstone cathedrals and classic Queenslander houses on stilts blend seamlessly with steel and glass skyscrapers.

3. Hit the water and islands of Moreton Bay

Sea kayak from North Stradboke Island or Moreton Island or go deep-sea fishing from Scarborough, Bribie Island, Manly or Raby Bay. Jet ski and windsurf on the Redcliffe Peninsula or kite-surf on Wellington Point. Slide down the world's tallest sand dunes on a toboggan or sand buggy on Moreton Island. Scuba dive with colourful fish, crustaceans, corals and turtles at Cowan's Artificial Reef, Flinders Reef and in the Tangalooma shipwrecks. Watch out for humpback whales between July and October and dolphins and dugongs all year round. Meet colonies of koalas in Victoria Point and hundreds of wading birds in the Egret Colony and Boondall Wetlands. Aqua-bike from Coochiemudlo Island then mountain bike the BMX tracks at Cleveland and Deception Bay. Four wheel drive Moreton, North Stradbroke and Bribie Islands. See Queensland's oldest banyan tree in Cleveland Point, Aboriginal scar trees and middens in the Redlands and Myora Springs and a notorious old convict settlement on St Helena Island.

4. Eat, drink and enjoy in the urban villages

Listen to live music, shop along the lively outdoor mall and feast on Chinatown dumplings in Fortitude Valley, Brisbane's cultural core. Next door in New Farm, you can people watch from trendy cafes, buy gourmet delights from the famous deli and picnic in the riverside parklands. Dine in warehouse converted restaurants and explore the transformed industrial space of the Powerhouse, now a buzzing centre for the live arts. Take the citycat to Bulimba on the river. Then visit pretty Paddington and hop between the popular bars, cafes and restaurants of Latrobe and Given Terraces. Then take in the traditional Queenslander homes which dot the hills and wide-lined streets. Cross the river for the funky restaurants and art house theatres of the West End, the shops of Stones Corner and the brewery of Queensland's most famous beer.

5. Embrace adventure

Abseil or rock climb the Kangaroo Point Cliffs at sunrise or at night when the city is dancing with lights. Climb the Story Bridge for spectacular 360 degree views. Free fall on a tandem sky dive or float over the city in a hot air balloon. You can even glide like a bird over the Sunshine Coast on a motor glider. Travel down the Brisbane River on a golden gondola, historic paddle steamer or wildlife cruise. Or take a luxury whale watching cruise from the Redcliffe Peninsula, just 30 minutes north of Brisbane. Do an eco cruise past Bribie Island and the Glasshouse Mountains to Pumicestone Passage Marine Park. Bushwalk, swim, four wheel drive, spot wildlife and explore glow worm caves on an eco-tour to Springbrook and Lamington National Parks. See the city sights on the back of a Harley Davidson or go horseriding in the sprawling bush on the edge of the city.

Melbourne

Melbourne is a maze of hidden laneways, opulent bars, exclusive restaurants and off-the-beaten-track boutiques. Here you can soak up culture, hit the sporting grounds, taste the dynamic food and wine scene, dance til dawn or wander the parks and leafy boulevards. Visit Federation Square, the city's landmark cultural space, and enjoy a sunset beer on the St Kilda promenade. Shop till you drop on funky Brunswick Street or upmarket Chapel Street. Wander Southbank's cafes, bistros and bars and get a world tour of cuisines in Carlton, Richmond and Fitzroy. Take an Aboriginal Heritage Walk through the Royal Botanic Gardens and cheer with a capacity crowd at the Melbourne Cricket Ground.

Five Must-Have Melbourne Experiences:

1. Shop till you drop

Bag a bargain at the Rose Street Artist's Market and browse the funky boutiques on Brunswick Street. Buy designer labels such as Akira Isogawa and Zimmerman on Chapel Street in Prahran or in the historic Melbourne General Post Office, which covers an entire city block. For everything from fashion to furnishings at fantastic value, visit Bridge Road in Richmond. Melbourne is a shopper's haven, offering eclectic boutiques, high-end fashion, funky homeware stores and European style piazzas in the city's arcades and hidden laneways.

2. Bar hop and dance till dawn

Sip a cocktail in a converted sea container in Chinatown, enjoy a sunset beer in a St Kilda pub or listen to cabaret in lush retro surroundings in jazz bars in the city. Linger over exquisite tapas and exotic wine in a Little Collins Street bar and mingle in a pink parlour with fake grass in Bourke Street. You can party from dusk in the bars of Brunswick Street. Or dance till dawn in bars in the city's lantern-lit laneways, secret apart from the spill of coloured light under heavy brass doors.

3. Get into the gourmet goodness

Let the aroma of good coffee waft over you in Melbourne's gothic European laneways. The city is famous for its coffee and old-world café culture but there's so much more to explore. Once you've downed a 'short black' or taken an afternoon aperitif, try tea in a nineteenth-century hotel or salivate over your silver spoon in acclaimed restaurants like Nobu, Botanical and Becco. Pick up fresh fruits, vegetables and seafood at the Queen Victoria Market on a Saturday, known for its bustling crowds and buskers. Try out the restaurants, cafes, bistros and bars in Southbank or Federation Square. Make your way around Melbourne's multicultural cosmos of cuisines: Carlton for Italian classics, Richmond for budget-friendly Vietnamese and Fitzroy for Spanish tapas.

4. Fill up on culture

See a performance by the Australian Ballet, which is based here in Australia's cultural capital. Or enjoy a dazzling musical at the Princess Theatre. Browse the Southern Hemisphere's best collection of international art at the National Gallery of Victoria. Or visit the Australian Centre for the Moving Image in Federation Square, a landmark cultural 'space' for Melbournians. Challenge yourself with the creative collections in the Australian Centre for Contemporary Art in Southbank. To learn more about Melbourne's Aboriginal cultural heritage, see contemporary and dreamtime art or take an Aboriginal Heritage Walk through the Royal Botanic Gardens.

5. Go sports mad

Cheer for an Australian Rules Football game with a capacity crowd at the Melbourne Cricket Ground over winter. Go cricket mad in summer, when the city hosts the Ashes and one day internationals. Or join the huge crowds watching the Australian Tennis Open at Melbourne Park. Rev heads head to Melbourne in March for the Australian Formula 1 Grand Prix in Albert Park. And whether you are a racing fan or just a casual punter, you won't want to miss the Melbourne Cup - the world's richest horse race on the first Tuesday in November.