I don't know many facts, but I have a few reasons why I chose Spiderman. Not only in the movies has Spiderman clearly fought and defeated more badass enemies, but he also faster, has "spidey" sense, and is stronger (Clearly indicated by punching people across a room in Ep. 1, and holding up that huge structure at the end in Ep. 2).

Sex appeal? I'd have to say Batman wins simply because he is a genius and has more women experience (Also due to that fact that he is older).

Oh, and Spidey doesn't have a "lair", but Batman has a badass one. Also, on a side note, Batman needed a sidekick and had a servant helping him stay organized, while Spiderman was a loner and based everything on his instincts.