@DAN THE MAN and bowlerhat_bassist: A major problem with many musicians and music listeners today is that they aren't open to the fact that their way isn't always the best way. Our viewpoints differ, because we do, and that's what makes music great. If we all adored Mike Portnoy and John Myung (Don't get me wrong, I think they're stellar musicians) and no one else, things would get boring pretty quickly, wouldn't they? Just because a player isn't "good" or "the best" in your opinion doesn't entitle them to be hated and scorned, does it? Not to mention the fact that the thread title is "Favorite" bassist/drummer, not "best."
I didn't even see Mike Portnoy or John Myung listed. Did I miss something? Of course anything stated here is opinions only. I don't think anybody's stating anyone as "the best". It's all relevant to what we listen to. I personally listen to a lot of progressive rock and think Mike Portnoy is one of the best drummers around. But I also like Mark Zonder (Fates Warning/Slavior), Nicko McBrain (Iron Maiden), Scott Rockenfield, Phil Collins (Peter Gabriel-era) and the drummers from Lemur Voice and Poverty's No Crime.
As far as bassist I've always liked Pete Trewavas' (Marillion/Transatlantic) style. I'm also probably the only person on this site that likes Chip Z'nuff (Enuff Z'Nuff).
So as combos go I would say Pete Trewavas and Mike Portnoy (Transatlantic), Mike Rutherford and Phil Collins (Genesis) and Ace Frehley and Peter Criss (KISS).