i dun disagree with what ashxcore says but anyway rock i feel have more drumming (normally base drums)....
slow rock consider rock too? or jazz rock... lolz
MORE drumming? ehhhh?
slow rock is not a genre, but you answered your own question by having the word rock. and jazz rock? also not a genre...what are you talking about? progressive rock? art rock? rock is bound to have jazz influence, anyway.
I don't really pay attention to genres when I listen to music, I listen to what I like regardless of "classification." But I suppose if I had to, I'd say I listened to mostly rock-ish stuff, old and new alike.
Bowie, Beatles, The Clash (that's more punk but oh well) is all good...for new stuff I love Coldplay, Incubus, Hot Hot Heat, Taking Back Sunday, Brand New, AFI, Ima Robot. Also I'm starting to get into ska music lately, Save Ferris and bands like that. Not a big metal fan but I don't hate it, my ex-boyfriend is the lead singer--or rather, lead screamer--for a metal band and I still love watching them perform.
Okay, there's my two cents.