The Kinks-by listening to the first three albums and corresponding singles from 64+65 exactly once each, you should be able to make two 33 or so minute playlists covering the best songs from those years. After '69 and discounting Muswell (which is great), almost all of their albums have good songs on them, but I definitely wouldn't recommend in-depth examinations of all those ill-advised '70s concept albums and all of that cheesy '80s dreck. If you don't have OCD, just download "Lola" and "Celluloid Heroes" and "Come Dancing" and the other great songs not from the golden years and move on with your life.
The Who-For the love of god get the complete Live at Leeds from iTunes, program out all of Pete's blabbering, and become the happiest person in the world. Like with the Kinks you should find the best songs from the albums you don't know and standalone singles and that's it. Don't make yourself listen to "It's Hard." Just don't do it.
Byrds-I've only ever heard their first four albums, and as much as I dig them, I'll probably never hear anything they did after that.
Funeral is the only good Arcade Fire album, so you can stop there. For a band with that many members playing that many instruments, they sure aren't very interesting.