Yes, but one that is rarely used. Such as, movies of actual people being raped (for example) should be banned, as well as child pornography would definitely fall under than ban.
Have you ever heard of something known as the first amendment? Requiring all movies/games to get State approval would violate it strongly. Also if it was set up the chances of it only being used for Child Porn/Snuff Films/Rape videos are astronomically low and not even worth discussing. We would quickly see both liberals getting things banned for being "racially insensitive" or "misogynistic" and conservatives getting things banned for "blasphemy" or "indecency".