There are many threads on this topic. Getting a business or first award USA Australia is very hard. Trying for a limited date range makes that @&@&@
You chances with AA miles on QF are low.
http://www.flyertalk.com/forum/ameri...lidated-9.html
http://www.flyertalk.com/forum/ameri...solidated.html
Airlines that fly USA/Canada to Australia (most from LAX) are
- United [Star Alliance] (LAX SFO – SYD MEL & GUM-CNS)
- Qantas [OneWorld Alliance] (AS partner) (LAX JFK DFW HNL – SYD BNE MEL)
- Jetstar (HNL – SYD BNE)
- Delta [Skyteam Alliance] (VA & AS partner) (LAX – SYD)
- Virgin Australia (DL partner) (LAX – SYD BNE)
- Hawaiian, via Hawaii (AA & VA partner) (HNL – SYD)
- Air NZ, via AKL [Star Alliance]
- Fiji Airways, via Fiji (AA & AS partner)
- Air Tahiti Nui (last segments on codeshares) (AA & DL partner)
- Air Canada [Star Alliance]
And others via Asia & Middle East