Qantas is offering roundtrip fares of $498 + tax from Los Angeles to Auckland and $598 + tax from Los Angeles to Sydney.
Ticket by May 7th and depart by the end of May. The stay must last 7 days minimum, one month maximum. The minimum stay requirement makes this a decent vacation but not a trip worth flying just for the miles.
Hat tip to David Rowell.
Update: I indicated earlier that Qantas flights earned American Airlines miles, but this fare (booked in “Q” class) does not according to American’s website.
You can, however, earn full mileage with Alaska, Continental, or USAirways. Bear in mind, though, that those will not be elite qualifying miles.