Tim has mentioned the banks referred to as the big 4, another smaller bank St.George now having merged with Westpac and so they will now be a little bigger but could also close what they consider to be any duplicated branches, ie. ones of the former St.G and W close to oneanother.
Bendigo Bank has also amalgamated with the Bank of Adelaide and they will be tapping on the door to be part of the big 5 - they also have what are called community banks in a lot of smaller commu nities where big4 banks had decided to leave or never had a service.
A couple of the banks do have provision for opening accounts online and so you can deposit money before you leave home and then just walk in with your passport, get your account ID and account activated - very similar to just getting an account opened on arrival bit not the advantage of having the money already there.
ANZ has about the easiest to read website about it -
Moving to Australia
Westpac might be the other and Commonwealth and National I think do not have the facility, and you could check
www.bendigobank.com.au