I decided that I want to take a trip to Sydney, Australia next January or February.  I know we have several members on this board who live in Australia, so I'm looking for cool ideas from locals who can suggest some things for me to do.
I have already looked into all the tourist things like climbing the Sydney Harbor Bridge and whatnot.  I'm into all the tourist-y things so even though some of that stuff seems lame to locals, I dig it.   

Do any of you guys have some ideas of things for me to do while I am there for two weeks?  Keep in mind that I won't have a car, so it will be public transport for me.