First I'd like to qualify that I do in fact like a lot of what you play. Stuff like that 70's french proto-metal comp. released on Sam Seder's label, Minutemen, early Rolling Stones, The Fall, etc.
But music from today? To be honest I'm usually about 5 years behind in rock music because I almost exclusively buy used records as I am border-line poor. And when I do buy new stuff it's that noise/experimental garbage that you probably have no interest in. Like some of my most recentest 'brand new' puchases were by Merzbow, Carlos Giffoni, Hair Police, Daniel Menche, KK.Null and Emil Beaulieau.
I wouldn't presume to tell you what to play but a little more heavy-psych would be great - the likes of High Rise, Mainliner, Gravitar, Fushitsusha, Vocokesh, Spacemen 3, etc. But none of that is new; infact I think all of those bands are now defunct. So I'm pretty useless as far as recommending any new rock music, sorry.
Sploops, I agree. I don't get the jiggly jaggly stuff like the flaming lips, GBV, etc. either, but Tom has spun some pretty hot jams over the years, like Chico Magnetic, portastatic, the black lips, bent wind, the thermals, the leather uppers, the reigning sound, and on and on... and let's not forget the unexpected gems by ELO, BeeGees. I think Tom has actually played High Rise and Mainliner.
I listen to a lot of noise garbage too, like Wolfeyes, Hairpolice, Runzulstern & Gurgelstock. That stuff is cool but some of the pieces may be too long for Tom's format. I actually like a lot of different stuff, not abba to zappa, mind you, but for a confirmed Elton John hater, I surprised myself by totally getting into tiny dancer whilst pleasure skating yesterday afternoon at my local ice rink. I've recently been listening to early tape music, astounding.
One thing I have to say about Tom, though, is that he has an uncanny knack for choosing the one, and often, only decent track off of a record, at times sending me on wild goose chases. And sometimes he'll play a song that's unrecognizable from a band I'm familiar with, which is cool - can't think of an example.