Batman vs. Black Mask: Technology vs. genetics. My vote goes to Black Mask. I just can't envision a scenario where Batman would win.

Wolverine vs. Chow Yun Fat: In the old "What if..." Marvel series, Wolverine fought Conan the Barbarian, and Conan cut his neck down to the adamantium vertabra. The arteries in his neck closed due to his healing factor before the blood flow resumed, sending him into insane rage when he finally awoke. I think Chow Yun Fat may be more of a traditional swordsman than Conan, but I can envision a similar scenario. Fat would retain his composure while Wolverine would likely get angrier and angrier. While it is unlikely that Fat would kill Wolverine, I think he would win the fight.

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The way of the samurai is in desperateness. Ten men or more cannot kill such a man. Common sense will not accomplish great things. Simply become insane and desperate. - Hagakure