I'm a big jazz fan. And yet, I have to say my favorite sax solo is Clarence Clemons on "Jungleland". Not for his technique or ability, however. There are obviously much better solos, if we're talking about improvization, creativity, etc. I pick this because it is so incredibly moving, sad, poignant, and beautiful. Having said that, I have to give credit to Springsteen, as he came up with the solo and hummed it to Clemons after they had tried various other iterations, phrases, etc.
BTW, if we're talking jazz solos, there are just too many great ones for me to pick one.