Air New Zealand has round-trip flights from Houston (IAH) to Auckland (AKL) for $849, NONSTOP. Flights September, October, December, February, March, April, May, and June. No Weekends. Departures on Monday, Tuesday, Wednesday, and Thursday.
Note: The lowest price found was on CheapOAir. Be advised that they charge a fee to cancel a ticket, even if it’s within the 24-hour free period.
Note: The previous deal in April to Auckland was about -$50 cheaper than this.