Hard to say.
I started playing drums because of those ethno drummers I saw at this Tolkien convention. Dressed up like orcs, they were beating their djembes savagely and were singing wild tunes, accompanied by acordeon. I was 12 and I loved them.
First drummer I ever thought played in a really cool style was John Densmore from Doors.
Then I found out about Gene Krupa and have loved him ever since.
John Bonham is hardly matched in terms of lively, yet firm and fairly simple groove and lightning-fast breaks.
I kinda like the style of Ginger Baker, but maybe I just like his overall performance, including the visual image.
Mitch Mitchell can lay down some pretty neat grooves, too.
Papa Jo Jones, Lionel Hampton and Elvin Jones are guys I admire and I can't yet reach their skill (nor do I play music similar to theirs), but I suppose something of them also sticked with me.
But Michael Shrieve is just plainly awesome. I never heard him play anything but Santana's first album, but in my eyes, he's up there with the greatest just because of his Woodstock solo. Toad is great, Moby Dick is great, but when it comes to drumming, that Shrieve's solo, even if he hadn't played anything else in his whole life, would be the coolest and most inspiring thing ever, I think.