Tap into the culture lover within at Asia Society and Museum. See if any guided tours are available or ask a museum employee to direct you to some of the highlights.
This Churchgate museum is a good place to kick off your day of sightseeing. There's lots to do and see in the vicinity, such as Gateway of India, Siddhi Vinayak Temple, and Mahalaxmi Temple. Wander around at your leisure at Asia Society and Museum before hitting up these other fine sights.