Hi to NOj and anyone here!
This is my first reply here and I'm sorry but, if You're searching for an almost complete and logical jazz collection You're far away from that. But perhaps i'm wrong and You're lookin' only for some good suggestions
I've take a fast look at Your list and at the hints here but for sure if You're lookin' for a collection almost rapresentative of this music, aside from the rock or pop album, You must re-equilibrate the whole list. Just an example: I've counted 18 recordings of Donald Byard and none of the following musicians: Albert Ayler, Art Ensemble of Chicago (missing the foundamental French recordings People in Sorrow first), Anthony Braxton, Count Basie (are missing the foundamental sides with Lester Young), Ornette Coleman is underrated, John Carter, Tadd Dameron, Roy Eldridge, Duke Ellington (missing the Blanton-Webster band!!!), Ella FItzgerald, Benny Goodman and I stop at lette H with one of my favourite of all times Fletchre Henderson.
I think You need a good jazz history moste than some occasional hint here. I don't know where are You from, I hope from USA on England so You can easily read one of the best jazz history ever written: Alyn Shipton, A New History Of Jazz, Continuum Books
See YOU. :-) LYM