Hmmm...lets see.

ba lon-syd
cx syd-hkg
cx hkg-jfk
la lax-scl
la scl-ccs-scl
la scl-lim-scl
la scl-lax
aa lax-lon
ba lon-cai-lon

12 flights, it looks like. I think these are all sleepers. I am not entirely sure about AA, but I am 99% positive. They changed the seating config on AA.com from a 2-1-2 to a 1-2-1, which should mean sleepers, from my understanding. *From what I remember* (it has been a couple of months) BA was pretty wide open, CX was a bit less than BA, but no problems. AA was fine, and LA was no problem *except* that the A inventory is limited by the fact that there are only 5 F seats. I think they only released 2, or maybe three. The only place that I had problems was on LanChile SCL-IPC, which was severely booked. So I switched to CCS, and was happy as a clam. Also had a problem SYD-PPT, but that was a flight problem (or lack thereof), not a space problem.

I am traveling during early swing season/late peak season in most places, from what I can see. Just as a point to add, I have a lot of non-sleeper (where it was not an option) on QF, CX, and AA, and there was no problems at all with getting seats.

Good luck.