instead of arguing this fight all day long, and the fans of each of them will declare their favorite as the winner for some reason or another. the guys at Start channel on YouTube made a real life fight between Captain America and Batman. very realistic fight !!!
the thing here is that the video acts as a crowd pleaser, if u like a superhero more than the other one, you click his name at the end of the video and it will redirect you to the final scene of the fight where Captain America or Batman wins, suit yourself. you can choose your favorite to win and just click his name as the final scene plays, and your favorite wins it.
you can subscribe to the channel for new comic fights each week. example:- Superman vs Goku...etc.
here is the link of the fight: http://www.youtube.com/watch?v=i_BVqa4gpdM&feature=g-all-u