You just watched the intro for Code of Princess, an upcoming Nintendo 3DS game in Japan. It's an original title not tied to any other license, but it still got itself a nice anime style intro. Nothing gets me pumped up for a game like an anime intro!
This game looks like it would be suited perfectly to the world of anime. I'd love to see an adaptation, but I doubt the game will sell enough to make that happen. At least we got a brief taste of what the game would look like if it did make a jump into fully-fledged anime.