I fucking love it when the rhythm either spazzes out all over your face or is made up of the most bizarre and brilliant sounds you can think of.
Tom Waits in 'Shake It' - that snare sound sounds like a hatted maniac thwacking a plank against the side of your skull!
Dirty Three - Everything's Fucked - the drums slide so beautifully off track and elegantly form their own complicated relationship with the structure of the time that the song occupies...
Deerhoof - I fucking love that guy with his arhythmic scarpering and scampering.
Someone do Beefheart!