While in Perth I also visited the Heritage Aviation Museum which is run by the Royal Australian Air Force Association (RAAFA). I would recommend a visit. At only $10 entry for adults it is outstanding value. More information about the museum can be found here.
Here are some of the aircraft on display:
Mounted outside the museum is a Supermarine Spitfire Mk22 (Replica)
Consolidated PBY Catalina
Bell UH-1 Huey
Macchi MB-326 H
CAC CA-5 Wirraway
English Electric Canberra
This is a great little museum, with knowledgeable, helpful volunteers. I recommend a visit if you are in Perth and have a spare hour or two!