As a fan of the first two games, I can say that this one's everything I expected and more. I'm happy to get the opportunity to fly around Gotham City proper, although there's no pedestrians or moving cars GTA-style.
Basically the plot is set two years after the Batman starts up his crime-fighting vigilante career, but before the events of Arkham Asylum. The Black Mask, a vicious crime lord, places a $50 million bounty on Batman's head; eight vicious supervillain assassins, along with other crime lords and crooked cops, are out to kill him.
In addition to trying to stop the Black Mask and fight all manner of costumed criminals, you can go on various sidequests: stop crimes in progress you find on a police dispatcher, prevent Anarky from blowing up buildings, track down the Riddler's blackmail material of Gotham's influential, and more!
So, has anybody bought this game? How are you enjoying it?