Update: Sorry Apple didn’t approve the app because it uses Airplay which isn’t a public API yet.

AppRecorder lets you record high quality videos of apps running on your iOS device. Supports iPhone 4S, iPhone 5, iPad 2 and the new iPad. 

Features: 
– Record high quality videos of app usage. 
– Supports portrait and landscape apps. 
– Playback of videos within the app. 
– Export a video to the camera roll from where you can import it to your computer, email it or upload it to a video sharing website. 
– Maximum video length 10 minutes. 
– iOS 6 supported. 
– Includes getting started tutorial. 

Requirements: 
– iPhone 4S, iPhone 5, iPad 2 and the new iPad. 
– iOS 4.3 or later. 
– Internet connection.

Available to buy in the App Store soon.