re: Batman vs Captain America - Who wins?

Cap wins this easily. He outclasses Batman in every physical measure.

Batman wins theses matchups because he's that stubborn little guy that doesn't accept that he's got no chance, and the other guy doesn't bother with it. Like Superman said in the recent movie, "if I wanted, you'd be dead already". All those fancy kryptonite gadgets and spears would not have made a difference if Supes simply incinerated him or flew into him at Mach 20.

The problem with a match against Cap, is that Cap has the same attitude; at heart he's still the scrawny Brooklyn kid who "can do this all day", and now he has the body to go with it. If Cap can fall off a 10 story building, say "ow", and then get up, then Bats can't KO him.