ok, so i'm up to the Bird/Diz episode. i think its interesting that they portray Bird as the next revolutionary after Louis Armstrong. its almost as if they're saying "yeah, we spent all this time talking about Duke and Benny Goodman because they were popular, but those are the guys you need to know". at least that's what i get out of it.
Benny Goodman, maybe. Probably most notable for Charlie Christian, who was incredibly influential.
But Basie is fucking important. Ellington is either just as important as Armstrong, or not far behind, IMHO. You almost want to think of jazz as a double-helix, like a DNA strand - there are the great composers/arrangers, and then there are the great instrumentalists/improvisers/vocalists. And Ellington's band was loaded with important musicians, too... Jimmy Blanton, Ben Webster, Bubber Miley, Johnny Hodges, Paul Gonsalves, etc. were all incredibly influential.
But yeah. It's a little easy to dismiss the swing era, as it probably doesn't have the same degree of influence on contemporary jazz as bebop, or maybe even New Orleans jazz. But that'd probably be a mistake.
Scott DeVeaux wrote a great book (it's a little academic, if you don't have a little background in musicology, actually, so don't take me at my word on that) called
The Birth of Bebop in which he posits Coleman Hawkins as a central figure in that movement, in terms of linking multiple generations together. Also, Thelonious Monk was the fucking house pianist at Minton's, so he was pretty damn important to bop, as well. Don't forget, you're getting one side of a story, more or less.
But yeah, Charlie Parker really was everything that he's made out to be. Stanley Crouch, as much as I can't stand him at times, has been working on an epic biography called
Kansas City Lightning for years now. It's kind of like the
Chinese Democracy of jazz biography, as many doubt that it will ever materialize.