The Joker breaking his own neck to frame Batman. After becoming quadriplegic.
Batman has a ridiculous amount of these, especially in his first night out. Notably, a pimp is in a taxi with a hooker and pays the driver a wad of cash to ignore him beating and mutilating the woman. Batman lands on the roof and the pimp sticks his arm and gun out the half-open window. Batman stomps down on his arm and kicks the pimp's ass. Then he leaps away...before coming back and destroying the money the cabbie got.
But most famous of all is his beating of the mutant leader. Having gotten his ass kicked by him earlier for trying to fight him head on, he tricks the leader into fighting in a mud pit. Batman fights dirty, striking nerve clusters, throwing mud in his eyes and doing something to his leg, saying "This isn't a mudhole. It's an operating table - and I'm the surgeon." while thinking "Something tells me to stop with the leg...I don't listen to it."
We also have Crowning Moments like Superman and Batman's not-so-final showdown, not to mention Batman riding a horse.
More specifically about the showdown. Batman, an aging mortal man with no supernatural powers, takes on Superman, an overpowered alien from another galaxy. How does he manage it? Superman's weakened from the nuclear missile that nearly killed him. Batman himself is in a robot suit that's draining Gotham's entire power supply so he can be full levels of badass. Batman starts off by hitting Superman with missiles and a sonic gun to further weaken him. He hits Supes with an electrical attack that would be the equivalent of a human falling onto a transformer. He also has Green Arrow shoot Supes with a trick arrow filled with powdered Kryptonite. How does the battle go? Batman inevitably loses...but only because of a heart attack — THAT HE FAKED. Not only does everything go according to plan, had he (for some reason) been so inclined he could have killed Superman then and there.
"I want you to remember...my hand at your throat. I want you to remember...the one man who beat you."
During Joker's final rampage at the carnival, a young boy walks up to him and says, "You're the Joker, right? Batman's gonna kick your ass."
And even after being shot by the Joker while saving the young boy, he takes the time to correct him.