At 7.30 am AEST this morning, I managed to get through to the AA Call Centre without waiting on the line.
I rang 1300 760 330 and listened to a recorded message about unprecedented demand and long delays at the call centre and that I should call back later. The next recorded message was that if I was enquiring about flights from Australia, India and China, I should press another button. The third recorded message said I should press button 2 for enquiries.
I was then switched through to a human who spoke good English.