I'm at the second portion of the game where you control Catwoman and while it's a great game, I also find Arkham Asylum to be a much better game. Arkham Asylum was also open world, but it was much more contained making a more enjoyable experience.
I'm pretty pissed off about the single player pass that unlocks Catwoman content. The content not being on disc is pretty major in my opinion, especially given how much I've seen and I'm hardly even that far in the game.