Batman: Arkham City - Armored Edition is another port to Nintendo's new console that uses the GamePad particularly well. It essentially turns the Wii U's fancy GamePad into a miniature Batcomputer; the controller does everything. It's a sonar radar, you can read character bios and other data entries on it, and you'll even use its gyroscope to control batarangs and other items in the game.
And Arkham City - Armored Edition lives up to its name with a new BAT mode that allows the Dark Knight and to unleash extra powerful attacks by taking hits wearing his new armor.
Finally, the Wii U version of Arkham City includes past DLC missions and costumes right on the disc, so you're getting a lot more than the older versions included. If you never experienced Batman: Arkham City, the Wii U may be the best platform for it.