To maximise earning for QFF she wants QF, BA or AA flight numbers where possible, and as usual operating airline code is better than using a codeshare.

For NA domestic the better first class is mainly the LAX/SFO trans-cons and some intra-hub flights (between ORD, DFW and perhaps also MIA).

She may need to be flexible for travel over Christmas and lunar new year periods.

Something as simple as SYD-HKG-jfk-YVR-dfw-SFO-LHR-SYD-CNS-SYD appears to meet the requirements and qualifies QF WP from scratch - only YVR-DFW-SFO and SYD-CNS-SYD don't have longhaul first class. (YVR-SFO can be done on QF if schedule/season permits).

With only 8 or 9 flights there is plenty of scope for extra travel, but the north america transcon is already used up (JFK-YVR) as is the 2 stopovers in continent of origin (and 2 of the 4 permitted flights - any extras cannot include NZ). Another 11 or 12 flights can be included for free (max 4 in asia, 4 in europe, 3 or 4 in north america, 2 in australia).