Eh hem. I like to do the Gun Shot test, and I have runned DC RPs before. I learned very quickly, Superman is ridiculous broken. First of Kryptonite is extremely hard to find and most of the time, it's usually locked up. Batman is too secretive to give anyone the time of day or responsibility to have something like that anyway.
Superman cannot get beaten, I mean with fist
He cannot be shot dead, with a bullet
He has nigh infinite abilities
He can alter timelines
He can run
He can fly
He was thrown almost all the superpowers into one being. And most powers don't work on him. Superman's main weakness is a shiny green rock. Ooooboy, that's going to do a lot to the creature that cannot get blown up, cannot get shot, cannot get beaten in a fist out.
I mean the whole Injustice DC comics showed really how screwed the world would be if Superman took it over, because no one could do anything about it. No one can defeat Superman. Superman is practically a demigod. And most people are downright terrified of what he would do if he became evil. It's the constant worry of Batman.
I won't do Dream.
I'll go look for someone else. But don't pretend Superman is not broken.