I've thought about it for awhile and I just don't see how Supes can win any battles with some serious Bat-villians,Here's my thoughts about how these battles would go down.
Joker-I'm sure joker has some kryptonite weapons laying around that could end supes very quickly,joker is also quite abit smarter than Clark.
Bane-lets face it,Bane outsmarted and broke the bat I see no reason why Supes would stand a chance.
Scarecrow-Bats might be able to break out of the fear toxin but I don't think Supes is smart enough to do this,Scarecrow would likely impale him with a kryptonite sword whiles he's drugged and end him.
Talons-Supes has cold breath so he stands a slight chance against a few of them,against the entire court? forget it he's done.
Clayface-not sure how he could win this one either
Owlman-A smarter,stronger batman?Forget it,no way he even makes this guy sweat.
Mister Zsasz-now honestly, I think superman can win here,He will of course have deal with Zsasz's speed and immunity to pain.
Not gonna list all of them but you guys get the drift.