AZ Screen Recorder is a useful app that seamlessly records your screen and audio (although only if you are using a mic).
Screen recording is an easy, one-click process, and the playback is smooth. There are options to adjust the resolution, bit rate and orientation, as well as add a time limit, pause the recording, or stop it altogether when the screen goes off. But it does lack a countdown to record timer.
With no root required for Android 5.0, AZ Screen Recorder is a simple but essential app.