I’ve got a lot of little storytelling ideas I’d love to see in a Batman movie’s fight choreography.
One would be to have Batman basically have two fighting style and the film having two different types of fight scenes - the ones where Batman is ready, initiating the struggle on his terms, and ruthlessly and surgically takes out his opponents with grace and gadgets, and ones where Batman has to deal with some unexpected encounter, takes some hits, but his superior training and conditioning shine through... but so does his mortality and the fact that he has to push his body with willpower.
Basically, have a scene where he *is* full on non-lethal Baba Yaga, using gadgets and brutally swift and debilitating moves to just wrap up an opposing force with an intimidating lack of fanfare... then later on, have a Batman concussed by an explosion or ambushed by a cunning trap have to fight to re-establish momentum, maneuver to safety if the situation gets out of control, and is visibly dealing with some pain and fatigue after.
He never quite gets into a true brawl the way Daredevil or Punisher do... but he does have some down fights where his wits and training aren’t enough to prevent him from emerging with a bloody nose, torn lip, or needing to rest his shoulder. The difference would be that while Daredevil usually just powers through with more brute force and willpower when in trouble, we should see Batman make sometimes tough decisions that will still end a fight earlier and better.
Like where Daredevil choreography would have him get tackled from behind, take a beat down, then just start punching ferociously until he can come out on top and exhausted, Batman would get tackled from behind, put up a block, and either wait for the perfect counter to safe energy, or take one free enemy hit so he can grab his grappler and just incapacitate the guy immediately.
Also...
I’d really like a flirtatious and energetic confrontation between Catwoman and Batman. Maybe she’s usually a grappler with her claws and whip/other entangling gear, so they end up in a... Compromising situation that Batman can only escape with even more compromising position or something.