From looking through the availability, there's certainly Business Class availability from LAX-SYD via NRT departing LAX on the 18th of December anyway. For non-stop flights I think it's *very* unlikely you'll have much luck, but at least the transit times flying via NRT aren't too painful. For flights back from AKL-LAX, the earliest non-stop Business availability I saw was 16th of January, so I guess it depends on how long your holiday will be for how much use that might prove.