Big Daddy versus The Comedian....
Scenario one: Both are armed with a 12 gauge shotgun, two Glocks, and a combat knife. Both are wearing their hero costumes. The fight takes place in Ozymandias's arctic lair.
Scenario two: Same as one except no weapons. H2H combat in the Winchester Pub (Shaun of the Dead). They can use anything around them as weapons, just no guns and shit.
To the death.