American Airlines has round-trip flights from Dallas (DFW) to Tokyo (NRT) for $1210-$1250, NONSTOP. Flights August to February. Extended weekends available.
These are NONSTOP.
Current USD/JPY exchange rate greatly favors American travelers.
We previously covered flights with stops that were about $950 round-trip.
A Carry-on bag and also a personal item is allowed for free on American. You can avoid paying for seat selection by accepting the randomly assigned seat at the gate.