You might have seen video through you tube in iPhone.
Normal MPMoviePlayerController has previous, next & play/pause buttons.
You tube - player has additiona
I don't think you can modify the interface of an Apple provided view.
The general approach would be to play your video and then after it's done, show a view with the desired buttons/and or options for the user.
An example of this can be seen with the YouTube app on the iPhone. After the youtube video plays, the user is sent to a summary view with links to watch the video again, favourite it, share it, etc.