What routes have good availability?
NRT is not bad and with the extra flights HKG had opened up. SIN and BKK are horrible and the Indian routes not much better, with the exception of CCU. The Middle Easy is very seasonal - July is easy, September is not. GRU/GIG/EZE is much, much better now there is a 747 on the route - decent J and F availability. I got 2 F tickets to EZE for later this year - which still left 2 more available!
Dunno about the US or African routes.
Sadly, in comparison to LH and the Star Alliance generally BA's award availability is pretty rubbish in premium cabins. I guess that is the price we pay for a profitable airline with a decent up-front product.