Tales of Symphonia/Phantasia. Oh wait.
Anime like these, as short as they may be, are what make me wish that more games would be animated. Yes, they skip a lot of stuff, so you do have to have knowledge of the game in order to understand it well, but the animation is just perfect, and they animations keep to the story of the different series pretty well for the most part. I mean, the series even made me like Collete (ToS), whom I loathed entirely before.
Now I'm just hoping they make another ToS anime to compliment the game's sequel, Dawn of the New World.