Given the OP really means there are no MileSAAver awards available, this will merge into the existing, active thread. There a lot of discussion regarding MileSAAver awards that may be informative to members, and there's no sense starting yet another thread regarding the paucity of these awards. /Moderator
/Mod hat off: MileSAAver awards are available (in fact as I am writing this I see one day for Business and three for First), if they are loaded into the system by RM, 331 days out for those early birds who call, and 330 days out for those who search online. They can be scarce on high demand flights such as LAX-LHR (and there is only one flight these days, rather than two, with the JB with BA,) and the release of further MileSAAver awards is dynamic - Revenue Management software may drop these in at any time, or not.
(I was able to secure some friends MileSAAver Business awards on precisely those flights, in April and May - but I had to be fast on the telephone because they are scarce indeed on AA136/137.) And of course, AAnytime awards are available anytime...