Batman totally wins. If they're not worried about killing each other, Batman has to just electocute him with a gadget like Nightwing did to the Superman android in Under the Red Hood. Kickass movie btw. Besides, there's nothing Batman could do that would make him kill himself. Batman dishes it all out. I'd pretty much say the only ones who could beat Batman... Wonder Woman, Green Lantern, The Flash, Shazaam, and that's about it... unless I'm forgetting a few. Everyone has weaknesses -especially Superman, but Batman's weakness is his lack of superpowers which he overcompensates for by always being prepared with tech. So I suppose if Spidey figured out he was Bruce Wayne and killed him off before he could get to the Batcave that'd be game, but my bet's on Bruce to figure it out first. Old-school Batman comics were just detective comics really. Ra's still calls him the detective. It's also been noted on many occasions he's considered the world's greatest detective. Andrea Beaumont mentions this on one occasion -even if sarcastically.
"A man is measured by the strength of his enemies." (Ardeth Bay in The Mummy Returns)
Batman OWNS this arena -with the small tip of the hat to Black Cat who was created before Catwoman and is all-in-all more interesting, useful, and sexy. Otherwise... Spiderman's got what? Venom and Carnage? How many times can you really use Venom or Carnage before they flip off the creators saying "F*** this s*** wasn't in my contract." Batman's got The Joker, Scarecrow, Bane, Ra's Al Ghul, The Riddler, Penguin, Hugo Strange, Mr. Freeze, Black Mask, Two Face, Red Hood, The Phantasm, etc. Batman OWNED THEM ALL! (By himself at some point in all the different versions.)
God I feel like a nerd....