Museum of Contemporary Art Australia

It's modern art a-go-go at the MCA, Sydney's chicest art museum with a top harborside spot in the Rocks. A striking 1952 sandstone building with a cuboid black, white, and gray 2012 extension, it displays contemporary Australian, indigenous, and international art. Take in the free permanent collection or crowd-pulling exhibitions starring big names such as Anish Kapoor, Yoko Ono, and Grayson Perry (fees apply), with optional guided tours. The rooftop café boasts wow-worthy views of the Harbour Bridge and Opera House (unless a pesky cruise ship blocks the horizon) and the shop stocks stylish souvenirs. Thursday late nights draw a hip crowd.