If anybody is paying cash for tickets to AKL, AA has cash prices marked down to around $1k roundtrip from late October through December, but you can find some cheaper dates on other airlines from the West Coast.

Delta
LAX-AKL - $898 r/t - https://www.google.com/travel/flight...yi7MHp8GVeoZp9

Air Canada / Air New Zealand
PDX-AKL - $766 r/t - https://www.google.com/travel/flight...iWTc1P8SDKpgt8
SEA-AKL - $766 r/t - https://www.google.com/travel/flight...jW6gPk7ei1sgt9

Hawaiian
SFO-AKL - $895 r/t - https://www.google.com/travel/flight...WZ9foUhkykZP79
PHX-AKL - $1022 r/t - https://www.google.com/travel/flight...sdoWYgvxTMAvu9

American
SEA-AKL - $977 r/t - https://www.google.com/travel/flight...fJTvRUExN5u7AA
SLC-AKL - $1036 r/t - https://www.google.com/travel/flight...FCxtZoZaZHhqi8
AUS-AKL - $937 r/t - https://www.google.com/travel/flight...T3dsfB9N296REA
PHX-AKL - $1036 r/t - https://www.google.com/travel/flight...ngMeaqw49TpMv6
IAH-AKL - $943 r/t - https://www.google.com/travel/flight...EYwn9yVoYxhUDA
DFW-AKL - $998 r/t - https://www.google.com/travel/flight...FCXF9K6bYkTqg6
MSY-AKL - $937 r/t - https://www.google.com/travel/flight...ppwmV49TuWtR68
MCI-AKL - $937 r/t - https://www.google.com/travel/flight...dvy27DApHTZ5s6
MSP-AKL - $1036 r/t - https://www.google.com/travel/flight...godc1RRj5R3q2A
ORD-AKL - $1036 r/t - https://www.google.com/travel/flight...kURA9DgA4FxDEA
DTW-AKL - $1026 r/t - https://www.google.com/travel/flight...tMCuN9manuCUA9
CMH-AKL - $1036 r/t - https://www.google.com/travel/flight...SnUoCBniwtPZ49
CVG-AKL - $1038 r/t - https://www.google.com/travel/flight...gmb92k2dtpDz6A
ATL-AKL - $991 r/t - https://www.google.com/travel/flight...rh7Uaa2mVs3Ua9
BNA-AKL - $987 r/t - https://www.google.com/travel/flight...qGYp1bjcLbvSC6
CLT-AKL - $1030 r/t - https://www.google.com/travel/flight...uGCKfRnoH2JMg9
IAD-AKL - $1060 r/t - https://www.google.com/travel/flight...gZStpbVSLatKJ7
DCA-AKL - $1060 r/t - https://www.google.com/travel/flight...tmutSUaAoRGuHA
MCO-AKL - $1036 r/t - https://www.google.com/travel/flight...BBoQqn5nZ8R1B9
MIA-AKL - $1060 r/t - https://www.google.com/travel/flight...bPbviVq69tTDT8
TPA-AKL - $1043 r/t - https://www.google.com/travel/flight...ycwkmcm61jH5F8
BOS-AKL - $1051 r/t - https://www.google.com/travel/flight...7gqAgeRMVdfbZ7
PIT-AKL - $1060 r/t - https://www.google.com/travel/flight...cVBMSPbL9Aev39
PHL-AKL - $1079 r/t - https://www.google.com/travel/flight...NUtaq8H7omh3c6
EWR-AKL - $1051 r/t - https://www.google.com/travel/flight...qyBH2CaRXodyM8
LGA-AKL - $1077 r/t - https://www.google.com/travel/flight...ZxfVafg8wDLmcA
JFK-AKL - $1077 r/t - https://www.google.com/travel/flight...5H3mq22f1RX9s6