American Airlines has round-trip flights from Austin (AUS) to Tokyo (HND) for $767 with a 1-stop connection each-way. Flights October to March. Departures on Monday, Tuesday, Wednesday, Saturday, and Sunday. 7-day minimum stay required.
This fare has gone back online, lower price than it was a few days ago. Was about +$100 more than this.
We’re aware you can find $674 if you add routes with multiple stops with long connection times on Air Canada. We advise that you avoid doing that though, it’s not worth the hassle.