Speed

Like with regards to strength, neither Batman or Wolverine officially have super-speed as part of their powerset, but the fact is that they both have highly-enhanced speed in comparison to the average human.

Batman has removed Green Lantern’s power ring so fast that the latter didn’t see it happen, he has outran explosions, he has caught a live grenade and thrown it again before it exploded, he has snatched guns out of criminals’ hands before they could fire them and he has dodged heat vision, speeding cars and bullets (albeit mostly shot from a distance and by using aim-dodging rather than bullet-esque speed).

Wolverine, however, has dodged bullets from point-blank range on countless occasions. He has managed to land punches on super-quick characters like Speed Demon (while they were actually moving fast), he has cut the barrels off guns before the men holding said guns even knew what was happening and he has caught up with a speeding aeroplane, on foot, before it could take off.

It’s actually quite close, but there’s no doubt Wolverine is faster based on feats.

Winner: Wolverine.