Air NZ: SYD↔LAX from $928, SYD↔SFO from $926, SYD↔IAH from $926. Booking Via Skiddoo

Air New Zealand North America deals, booking via Skiddoo. Those are a bit cheaper than the same deal on Air NZ's own website.

Note that for travelling to Los Angeles, there are quite a few airlines offering cheaper price at the moment (American Airlines, Qantas, United, etc) if you are not picky with those travel periods.

From the website:

You should know

1. The promotion commences on May 20th, 2016 and concludes on May 31st, 2016.
2. Departure is only from Australia to Los Angeles, San Francisco and Houston.
3. Travel period is for the 1st September, 2016 until the 30th September, 2016.

Terms & Conditions

• This promotion commences on May 20th, 2016 and concludes on May 31st, 2016.
• To be an eligible for this promotion you must purchase a return flight to North America with Air New Zealand on skiddoo.com.au within the campaign period.
• Only eligible for economy class flights, premium economy and Business class flights.
• Departing from Australia only.
• Travel period is 1st of September until the 30 September 2016
• Only applicable to permanent residents of Australia over the age of 18.