The Blue Mountains are gorgeous -- take the little train that goes down one of the mountains into the rain forest (sorry, can't remember the name of the little town where you catch the train, but I'm sure it will be easy to find). Go to Bondi Beach for a meal, take the Harbor Cruise and by all means go to a wildlife park and feed the kangaroos. There's one right across from the harbor and another one up in the hills--you can take one of the River Cats back to the harbor from up there. Where are you staying? The best view in the world is from the Concierge Lounge at the top of the Intercontinental. I'm sure Lee can give you lots of good advice.
