I only recently picked up the Batman games, I enjoyed Arkham Asylum, it felt quite old school in some ways, voice actors from the animated series is a plus . Arkham City is more open, I thought the story wobbled a bit but I had a lot of fun playing through it. The combat while simple, can prove quite a challenge when you get a lot of bad guys, plus the challenge modes would be ideal if you only have time for a quick blast. Currently Asylum, City and Origins are on sale (for the next 43 hours) on Bundles Stars at £3.74 each. I think they or someone else did have a Batman bundle going but it seems to be gone now.