Bullseye versus Batman
So Bullseye arrives in town looking for Elektra, only to find that Batman waiting for him.
Scenario one: TDK Batman is wearing the lighter Bat suit, he has batarangs, his harpoon gun thingie, all the standard gear he carries in his utility belt. Bullseye has an unlimited amount of Shurikens and throwing knives (He is wearing a vest like the big Mexican knife thrower had in "Desperado", chocked full of throwing knives.)
They fight on the street, at night, where Bullseye killed Natchios. Morals are off, Batman is out for blood.
Scenario two: Same as one, but morals are on for Batman, he won't kill, he will try to apprehend Bullseye.
Both scenarios, Bullseye....well, he has no morals, sick bastard.