Glenn is one of my favourites, and next to Ringo, probably my strongest influence. I really appreciate the way he tries to go beyond being "just a timekeeper" and explore the musicality of drums, but only where it's appropriate for the song. Another egoless drummer, and a very, very gracious man.
Check out this link for an interview with him on NPR's Sound Opinions:
The Beatles will always be special to me, because I learned to play bass as a 12- and 13-year-old by listening to my dad's records and playing along. But right now, I'd have to say Wilco is my favourite band. That music does something to me that I can't explain. I could go on and on and on (pun intended), but I won't.
Anyone interested in checking out more of Glenn's style should check out the DVDs I Am Trying To Break Your Heart
and Wilco's new live DVD Ashes of American Flags.
Also well worth listening to are Loose Fur's two albums (but especially the second one, "Born Again In The USA"). That's the side-project featuring Jeff Tweedy (leader of Wilco), Jim O'Rourke (who produced Yankee Hotel Foxtrot and A Ghost Is Born), and Glenn.