Indiana Jones vs. Martin Riggs
vs.
First Scenario: The good old fashioned fist fight. No weapons, both combatants are unarmed. The setting is on Murtaugh's front lawn. The first person to knock the other out or beat him into submission wins.
Second Scenario: Riggs has a handgun, Jones has his whip and gun. The start off in opposite sides of a giant room inside a large office building (something like this), with plenty of places to hide and take cover. The first person to score a kill wins.