There is one late night flight from SYD - MEL and one early morning flight from MEL - SYD on QF that continues to/from MEL - SIN that allows you to book A Class on a domestic flight. However, as Guy Betsy said, almost all 747-400 (very few offered) service within Oz is offered as a 2 class cabin.
That is interesting news that you get the F Class seats if you are booked in Biz on these flights. Does that mean you could get a Biz seat with a coach ticket if you are on these flights??
rich