I was waiting for this thread ...

Jazz/Jazz Rock:
Billy Cobham
Steve Smith (ex-Journey nowadays Vital Information)
Trilok Gurtu
Dennis Chambers (although both arrogant and obnoxious)

Rock:
Carl Palmer (of Emerson, Lake and Palmer and later of Asia)
Cozy Powell
John Bonham
Ian Paice

Bedouin. Blessed are those eyes that have seen more roads than any man! (Homer).