An interesting option for you could be to look at the Global Explorer fares, available cheapish in business class from Fiji (about AU$6800+taxes) or even cheaper from Tonga (about AU$5800+taxes). There's a direct flight from Fiji to Tokyo on Air Pacific that you can take, and earns full SC's in the QFF program too. Given the places you've listed wanting to see, 34,000 miles should be enough, the only big issue might be the 2 stopover limit in the region of origin, depending on where in Aus and NZ you wanted to go.

Otherwise if you're looking for the OW Explorer, then Bangkok is probably the best place to be starting for a location near Japan, or Colombo is even better if you can find yourself a cheap flight in that direction.