"ALL" of the music from Star Trek? Seems to missing a few things.
So far, the unmixed Vulcan lyre source is the only thing that could be considered an omission as far as instrumentals are concerned. And it is included on the set, just not in isolation. The only other things that are absent, as far as we know, are two bits of on-set singing that weren't part of the surviving music tapes: Kevin Riley's "I'll Take You Home Again, Kathleen" and Adam's "clean bill of health from Dr. McCoy" improv.