In Sydney, get a Sydney Pass. We had unlimited travel on buses, including the two explorers (Sydney and Bondi), trains and ferries for A$110 each, allowing us to see what we wanted at our own pace.
Yes, I quite agree! Either buy a daily 'all zones' ticket (From 18th April it will be called 'My Multi 3 Day Pass') for AU$20 or get a weekly ticket - Under the new system being launched 18 April 2010,the 'My Multi 1' weekly ticket will cost $41 and cover pretty much everything tourists need, including the iconic Manly Ferry and the bus/train to the airport (though as the airport stations were built as a Private Finance Initiative, everyone going there pays a surcharge on their ticket - which pass holders pay at the exit barrier)
If you want to go a little further out, to Manly for instance, the green travelpass is only $43. Far better value than the rip-off tickets sold to tourists...
www.cityrail.info/fares/travelpass.jsp