Originally Posted by dvs7310

Currently none unless you're doing one of them r/t from and to Australia where QF flies. It's certainly possible to use your 4 allowed Oceania segments for 2x islands though and use inter-continental segments into and out of Australia. QF covers a fair number or S. Pacific islands on their own metal, which is required for the OW Explorer ticket.
FJ isn't a OW member yet, but will be in the next 1-2 years. TN isn't and hasn't indicated any intention of joining. TN does fly to places that are efficient to use AA mileage redemptions on though if you're set on going to French Polynesia. Japan and New Zealand are both very efficient redemption points for TN flights but they don't give out many business seats, it's mostly economy, and they are fairly long flights.
With FJ joining up with AAdvantage, I suppose it might be possible for an AA operated NAN-DFW flight in the future, but nothing that's bookable at the moment.