Aeroclub's in Sydney
I can personally recommend Pacific Flight Services and Schofield's Flying Club. As close to an aeroclub as you'll get at Bankstown.
DO NOT VISIT THE FOLLOWING: Sydney Aviators, Clamback and Hennesy or Red Baron. many bad experiences with the business themselves or their products... enough said.
If you're willing to go to Camden, you'll find a stronger vintage aviation and GA side going on (various tail-wheel aircraft, less serious (more fun?)) aerobatic scene and I have found the atmosphere more accommodating to a recreational pilot.
HR