Australia used to use the Royal Anthem "God Save The Queen" as its National Anthem. However it now uses the song "Advance Australia Fair" for this purpose. Some people have tried (unsuccessfully) to get the song "Waltzing Matilda" selected as Australia's National Anthem.

Advance Australia Fair - Australia's National Anthem

God Save The Queen - Australia's Royal Anthem

Waltzing Matilda

Genesis Networks' Australian Links Collection