Roco Screen Recorder does NOT requirerootaccess, and there is no time limit.
It will let you record videos with or without audio with withoneaction to start and stop recording, capture screenshots withasimple layout providing best user experience.

Roco Screen Recorder lets you record your screen to HD andFullHDvideos that makes it very convenient to createtutorial,promotional video, comment about your game and gameplay orrecordvideo chat.

The app has a separate screen to view your sorted videosandpictures. You can also share these videos and pictures.