Suggestion: Spiderman vs Batman

Well, Batman is strong, agile, very smart, calculating, and has an assload of gadgets. Spiderman is strong, amazingly agile, has web-flinging ability, and has precognition.

Simply because of his Spidey-Sense, I'd give it to Spiderman, as he can detect danger a fraction of a second before it happens.

I suggest the scene in the first Spiderman movie where his Spidey-Sense goes off just before the bully tries to punch him at his locker. Even before it happens, Spiderman knows something bad is going down. While it is happening, time, to Spiderman, is slowed nearly to a halt, allowing him to maneuver however he wishes.

Batman is a badass. There's no doubt about that, but his calculating ways can only assist so much.