Fiji Airways has one-stop flights from LAX via Fiji to Auckland, New Zealand priced at $799 round trip for departures from late September to November and resuming mid-January through end of March 2017. The real deal with this fare is Fiji Airways economy V booking code earns 100% flight miles in Alaska Airlines Mileage Plan for 13,730 flight miles LAX-NAN-AKL-NAN-LAX.
There are some flight options with an all day transit stop in Nadi, Fiji for a brief visit on your way to or from New Zealand.
Fiji Airways Los Angeles LAX – Nadi, Fiji NAN – Auckland AKL – Nadi – Los Angeles
The return flight for this ticket has a 16.5 hour layover in Nadi from 5:10am to 9:40pm for a day in Fiji.
This is a good fare for New Zealand, although not as good as the $240 round trip ticket San Francisco SFO – Sydney SYD – AKL I purchased last April for a November trip flying Qantas economy that will earn 17,524 Alaska Airlines miles.
Loyalty Traveler – Fare Alert Qantas $225 LAX or SFO to Auckland NZ round trip.