My favorite genre to play is anything Punk rock from the 80s to the present. I'll listen to Black Flag, Bad Brains, The Descendants, Social Distortion D.O.A, and especially Classic Bad Religion.
Then you jump a bit further and I dig Dag Nasty, 90s Bad Religion, Green Day, Jawbreaker, and Cherry Poppin' Daddies
These days Modern Bad Religion, Rise Against, Motion City Soundtrack, Story of the Year, Sum 41, Yellowcard, The Wonder Years, and The Ataris.
Needless to say my favorite band is Bad Religion - I know their drummer; we have a semi-friend relationship, but it's more professional than that.
I've been a sub. drummer for my mom's oldies cover band, and I've played classic rock cover bands that played the bar gigs. I used to go down town and sit in with a jam session that plays every monday night. But some people started coming in and changing the atmosphere, so I quit.
As long as I'm around positive musicians, I'll dig playing with anybody in any genre, except maybe religious, especially if I'm getting paid. But Punk Rock will always be my calling for drums.