It seems BA isn't showing any availability. They only start 330 days out but there are NO F awards showing up right now. You can check JMB to see what should be available. As of right now, every day in March has space SFO->TYO. Jan 21st, Feb 4th, Feb 18th are all available as well (and bookable on AA too). I would call in and ask. JAL has been opening space in an odd pattern. It's every other week of whatever THAT day is (i.e. Today is Friday so every other Friday is available, moving backwards in date).

I used this to book some AA awards JFK-TYO-JFK last month.