What I liked: gadget integration. That was so much better than Arkham Asylum, loved it. Also loved the multiple counters, where you counter 2 or 3 people at a time
What I think improved: the whole combat system felt smoother. The variety of moves also improved, I liked the blade dodge takedown, beat down, and the other one (i forget the name) where you run up the thugs body and slam down on it. LOVED the disarm and destroy combo, that was genius. And i loved that the Cape Stun move was actually useful for fighting just regular old thugs, unlike in Arkham Asylum.
My favorite part of combat: like Arkham Asylum, the amazing realism and simplicity of the whole thing.
What I didn't like: the batswarm-combo. It was cheesy and unrealistic. I didn't like the REC and Freeze gadgets for the same reason. I also didn't like how everytime you do a Ground Takedown, even if your standing right over the thug, you jump unrealistically high, it looks weird. I also didn't like the slow-motion camera at the end of each combat session, it's pretty cheesy and I'd prefer to be able to control my own camera.
What could be improved: I'm not sure how this could be improved, but you're Rocksteady, so you can do anything!

I don't how unrealistically quick Batman jumps around from a thug on one side of the area to the other, it's almost like he teleports how quickly he moves. I'm not sure how you could improve it...perhaps instead of jumping really fast, he could use the grapnel gun to swing from one side of the area to the other (swooping to a kick-in-the-face). Of course, the player wouldn't actually have to use the grappling button, but when they pressed the Strike button towards a thug at the other end of the area, it would automatically do that.
What new features I'd like to see: environmental damage. e.g. - Batman punches a wall and it crumbles down on top of a thug. And more environmental interaction would be nice too. I loved the wall-counters, but more would be great. For example, Batman could grab a lamppost and swing around it to hit a thug, or grab a loose rock and hit a thug in the face with it. All of this not being a combo, but just regular Strike-button mashing. And although this had more to do with gadgets than combat, gadgets are a part of combat, so I thought I'd throw this in: instead of the explosive gel, I'd like to see the sticky grenade launcher Batman uses in "The Dark Knight" movie (that could open up a whole new range of environmental damage as well: exploding a wall during combat, knocking down a lamppost/sign onto someone, etc.)
That's it for me! Thanks guys for 2 top-notch games! lookin forward to the next one!