Ricky Wellman, Miles' last drummer and king of the go-go drummers:
 

 
And Buddy Williams, the king of bass springboards:
 
http://www.youtube.com/watch?v=jiafsFiqN1w&feature=related

Also, Sonny Emory (with Earth, Wind & Fire):
 

 
And my fave rock drummer, Mr. Tommy Dog Aldridge:
 

Who's your favorite Lawyer?
 
Chris Jackson in Aukland, new Zealand but only because he's my drummer. luckily I've never been caught doing anything serious enough to need hi service ;-)
 
Back on track, I'd love to play with mike Portnoy of Dream Theater as he seems to have a superb sense of humour and is skilled enough to be able to hide all my mistakes.
 
Graeme

Phil Collins
 
listen to this
 

 
slawie

I'd rather play with a laid back groove drummer than many of the more technical drummers other have mentioned. I'll nominate Richard Hayward of Little Feat.

Stewart Copeland or Ginger Baker

Phil Collins  
 
listen to this  
 
 
 
slawie
 
I love Brand X.  What a completely amazing band that was.  Shame that most people have no idea who they are.  As insane as Phil's drumming could be with the Gabriel era Genesis he really got a chance to stretch out in Brand X.
 
I think Paul played on 'Hot Rats'.
 
I consulted The Book of Armaments and it appears you are correct, sir.
 
If you're a Zappa freak that site is pretty much the best.  LOTS of great information in one place about the huge list of musicians that played in his bands, live performances, albums, etc...
 
We now return you to your regularly scheduled thread topic.

Phil Collins would be my strong third choice. Before all the Disney, Genesis... and his solo with Rappers (Bone Thugs and Harmony) it was BRAND X where I respect his drumming style.
 
Both, Phil and Percy Jones was the band.
 
Yeah, Phil is my #3 guy!

Phil with Genesis...Drumming ONLY!!
 
(Hal, you need to listen to the RIGHT Genesis, when Peter Gabriel sang lead vocals. Find the Song Get 'em out by Friday and you'll understand...)
 
Ian Mosley - Marillion
Carl Palmer - ELP

Wilson das Neves (Master brazilian drummer who played with Tom Jobin, Elis regina and Chico Buarque de Holanda)
 
Bernie Purdie (what can I say? The man GROOVES!)
 
Bill Brufford (I always loved King Crimson)
 
Stewart Copeland (The Police have turned me back to rock when I was getting freak on Fusion)
 
Max Roach (well, don't need to say anything)
 
Elvin Jones (if I can wish, I don't choose the BEST drummer/musician of all times?)

Lenny White.
Tom Nelson, Drummer in my group Bop Top

Oh, sorry... for the style I play?
 
Jo?o Parahyba. Not as well known as Airto, this guy plays Timba - one single long drum - with brushes and cymbals incredibly making all sounds you could wish from a drum set. He  plays with Trio Mocot? and is better than any drummer on playng sambarock.  
 
He played with Jorge Ben(jor) in the early 60's and, since then, played along with the greatest (as Chico Buarque, Miles Davies and Sarah Vaughan). Recently one french musical producer discovered one forgotten tape from Dizzie Gillespie playing with Mocot?. He is currently trying to release it, but seems there are some legal issues regarding who is the legal tape's owner.

Okay a little off topic, but Mario's post got me thinking about the Cajon.  Incredibly, the instrument does pretty much what Mario describes, imitating many of the sounds from a drum kit.  Here is a demonstration I dug up real fast:
 
Sorry to threadjack.

Just one,    Levon Helm

my dream drummer is ,one that gets to the gig early,keeps good time.and knows when not to solo.