If you liked Arkham City and want more of the same, get this in your library. It's another great batman experience that builds on Arkham City in small ways, set before the previous two games to explain how Batman met Joker.
Pros
Finally there's a way to glide across the city and continue gliding without landing
New gadgets, like a line launcher you can use to attach enemies to each other, or launch explosive barrels at them
New martial artist enemy type (and all the others return)
I enjoyed the story - it does a really good job of being a prequel to Arkham Asylum
The combat, on the whole, (although identical to the first two games) still feels fluid and satisfying when you get it right. When you get interrupted or make mistakes though, it can be pretty frustrating
Lots of upgrades
Several good boss fights
Riddler trophies, if you're into that
Lots of open world content that doesn't get in the way of the main story
Cons
Joker isn't voiced by Mark Hamill
One of the bosses disappeared in the middle of the fight and had to reload
