Psycho Pass is a game based off the anime series, although this game is a new story presumably in the same universe. I watched a few episodes of Psycho Pass and it's something I've been meaning to come back to. The anime is full of a very interesting concept about technology having the ability to measure a person's mental state and whether or not they're about to commit a crime. I'm sure this will be reflected in the game, I can't wait!
Update! Kotaku has posted English versions of these trailers that are highly helpful. You can view them at their article: http://www.kotaku.com.au/2014/05/japans-xbox-one-exclusives-translated-for-your-convenience/