State Library of New South Wales
This large complex is based around the Mitchell and Dixson libraries, which make up the world's largest collection of Australiana. Enter the foyer through the classical portico to see one of the earliest maps of Australia, a copy in marble mosaic of a map made by Abel Tasman, the Dutch navigator, in the mid-17th century. Through the glass doors lies the vast Mitchell Library reading room, but you need a reader's ticket (establishing that you are pursuing legitimate research) to enter. You can, however, take a free escorted history and heritage tour weekdays at 10:30 am. The library continuously runs free exhibitions, and the opulent Shakespeare Room is open to the public Tuesday 10–4.