Virgin Australia domestic does not have F (first) class. Nor does QF domestic. Both have C (business) on some routes. Have not flown DJ in business personally, but from what I have read not a lot of difference if comparing the same route / aircraft type. [others may not agree]. With QF you can get AA miles.

Air NZ domestic (in NZ) does not have F (first) class or C (business). Only Y in kiwiland