So, I've logged some time on the game, and I have a few early impressions on it.
I'm still liking it, but I do have a few gripes. Granted, most of my gripes are coming as a comic fanboy and, specifically, a fan of Batman and company in general... (i.e. I think they got the characters "wrong" in a few instances.) But since those aren't gameplay issues, per se, I won't address them here.
Mostly, I'm still enjoying the game, I think it's good, and really, my only complaints are about things like, say, the way the camera defaults to that up-close over-the-shoulder view when you're not in combat and not running. I'd much prefer a straight behind the character chase cam. I'm also not a fan of the way each fight is essentially a "set piece" battle. As in, the game decides "Ok, time for a fight sequence." So it sends in some enemies, and when it does, you're locked in whatever room you're in... granted, it may be a big room, but you're still stuck in it, and you can't disengage from combat. You can maneuver within the room to your heart's content, but you can't back off or whatever, so you have a set amount of health in which to eliminate all the threats. Only after you've done that does your health regenerate. Not a fan of that.
I also don't like how the game doesn't default to a run and you have to hold a button to run. I haven't run into a lot of places yet where I need very precise movements, so walking isn't really necessary, but being able to run from one target to another in a hand to hand engagement in order to keep a combo string going -is- important. And it's a lot more difficult to do that if you're fumbling to hold down the X button while mashing all the other buttons at the same time.
But other than that, I'm a fan of the visuals and the sound and the gameplay itself is just -fun-. It's enjoyable being Batman, mowing down bad guys, using fancy gadgets, flinging Batarangs... all that good stuff.