If you want to play a game from the Arkham series on a handheld, you have a few official options:
In Batman: Arkham City, players take on the role of Batman as he navigates through a Gotham City that has been transformed into a walled-off urban prison. The game's story follows Batman as he attempts to uncover a sinister plot by the villainous Hugo Strange, who has taken over the city. Along the way, Batman must face off against a range of iconic villains, including the Joker, Penguin, and Two-Face. batman+arkham+city+psp+iso+link
Videos demonstrating the game running on mobile devices or PCs often use the PPSSPP Emulator If you want to play a game from
If you are looking for Batman action on the go, here are your actual options: Batman Begins Videos demonstrating the game running on mobile devices