I'm not a fan of turn based combat, so the fact that i still thoroughly enjoyed this is a testament to the quality of its very best offerings. I liked the characters, I liked the story, I liked the enemies.
While i can't say i like the combat, it manages to avoid a lot of the pitfalls of turn based combat. It's relatively quick, it's flashy, and It doesn't strong arm you into a single strategy. I do wish that it wouldn't force you to reload when Joker dies, however. That seems counter-intuitive to the rest of the combat.