Sydney has a lot to offer, with its Opera house, the harbour bridge the wonderland etc. Sydney has a number of places to visit.  Must visit  places are-

Centrepoint Tower
Built in 1981, 305 mt tall (that's 1,000 ft) - the best view of Sydney and surrounding areas. This is the tallest building in the city.

Harbour Bridge
A huge steel arch spanning the harbour and connecting the North Shore with the city, one can even join a tour which climbs the inside. 

Opera House
Sydney Opera House, an architectural masterpiece and Australia's foremost tourist attraction, is one of the great performing arts centers of the world. Up close it's even more amazing to see.

The Rocks
Old Sydney is full of interesting historical buildings close to the city. It's also full of pubs.

Centennil Park 
Centennil Park is the most famous and fashionable place. A number of activities take place here like cycling and horse riding. Bikes and blades can be hired.

Museum of Sydney
This museum depicts Sydney's early period of European colonization. Remnants of Aboriginal and early European inhabitation can be seen here.

Royal Botanic Gardens 
Royal Botanic Gardens are Sydney's finest gardens with groves of palm trees, duck ponds, a cactus garden, a restaurant, greenhouses, and acres of lawns. The wonderful collection of plants and trees are both native Australians and exotics from around the world, and garden highlights include the Sydney Tropical Centre, housed in the Pyramid and Arc glass houses, and the lush Sydney Fernery.

Bondi Beach
Bondi Beach is one of Australia's most famous beaches. The beach, roughly a km long, is enclosed at the north and south by headlands.

Taronza Zoo
Taronza Zoo set up in a natural bush setting on the northern shore of the harbor, has a large collection of Australian fauna, including the marsupial the koala. 

Auburn Botanic Gardens
The Auburn Botanic and Japanese Gardens consists of 9 separate sections: Japanese hill and lake, sunken rose gardens, woodland theatre and billabong area, Australian rainforest, Australian woodlands, picnic and BBQ area, Bonsai garden, aviary and fauna reserve.

Darling Harbour
A former dockside area, the small harbour has been transformed into a major tourist site and leading convention and exhibition centre.

Harbour Side Shopping Centre
This is a shopping complex with 150 shops on two levels, several waterfront restaurants and an International Food Court with 40 outlets. Many of the shops are souvenir-type retail outlets.

Chinatown
A colourful mixture of Asian culture, shopping and cuisine can be seen in the Chinatown of Sydney. The area's distinctly oriental architecture, street lanterns and archways confirm it as a showpiece for Australian Chinese culture. Chinatown also hosts a number of performances throughout the year in line with the Chinese calendar celebrations.

Australias Wonderland
This is a huge fun place with roller-coasters, waterslides, fast-food stands and theme-lands. As the largest theme park in the Southern Hemisphere, it has more than 80 rides and shows. There is also the largest roller coaster in the Southern Hemisphere and a white water rafting experience called the Snowy River Rampage.