The water around Ishigaki is pure blue, with white sandy beaches to soothe your senses. But don't just stand on the beach and stare. travellers recommend a ride in a glass-bottomed boat to gaze at the coral reefs and tropical fish from above.

Shanghai is the cool, confident face of modern China, and its energy is infectious. Go to the Bund to watch ships on the river and marvel at the huge variety of architectural styles on display, or watch the crowds go by in People’s Square. Shoppers should make a beeline for the Fabric Market, where you can have a suit or dress tailor-made for you at bargain prices. At night, explore all manner of fashionable restaurants, bars and nightclubs or just stroll through the city enjoying the spectacular neon lights.

Move over, Haussmann and l'Enfant. Beijing's urban planner beat you by a couple of centuries. His name is Kublai Khan. Here, you'll find a wealth of history, both ancient (the Hall of Preserving Harmony, Summer Palace, Forbidden City) and more recent (Chairman Mao Memorial Hall, Tienanmen Square). For the best market experience, choose the Dirt Market over the touristy Silk Market.

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.