I have visited quite a few in Melbourne: State Library is one of my favourites. Quite a few buildings in University of Melbourne. Flinder's station is an obvious one. Carlton Gardens/Royal Exhibition Center is gorgeous. Many of the churches, like St. Paul's Cathedral is heritage and I've been there. I have also had the opportunity to tour the Parliament at the invitation of our local state MP. Shrine of Remembrance I have visited several times. Can't think of more right now, but I am sure I have visited others as well.