Ryu vs the Predator
The Predator sees Ryu (of SF2) as a worthy adversary and stalks him, until Ryu decides to face the Yatuja hunter in a one-on-one battle. No weapons for the Predator (self-destruct and invisibility included), just skill and power.
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Jack Bauer Fact: Jack Bauer cries when he watches "The Patriot." Not because he's sad, but because he could have won the Revolutionary War by himself in 24 hours.
Chuck Norris Fact: Chuck Norris is on a mission, That mission is to rename the "White House" to "Round House" and kick the crap out of terrorism.