Ever wanted to see a live action battle between Batman and Captain America? Well if you are as big a nerd as I am you have been wanting to see such a battle for ages.
Now DC and Marvel (or WB and Disney) will never give the people want they want so we will just have to get our geek curiosity satisfied through fan made vids like the one by Ultimate Fan Fights that’s under the cut.

Admittedly Captain America is a smidge too skinny and his costume looks like something from Party City but ya have to admit that was a pretty cool video. The fight scenes especially were very well done for a cheap little fan made video.
As to the question of who would win if these two heroes ever faced off, well that is easy: Batman wins with prep time but Cap takes it in any other situation.