Absolutely not. Turning a game into an anime completely ruins it.
Just look at Final Fantasy Unlimited, Star Ocean EX, the Wild Arms anime and the Zone of Enders anime.
Every single one of them was absolutely horrible. You don't realize how little plot actually fits into a game. The thing that makes it good is spacing that out with the actual gameplay. So once you start turning that game into an anime, that gameplay time gets replaced by pointless and pretty mindless dialogue with no point.
Anime -> game works infinitely better, but only because they copy games that already exist and just change the characters.
.hack... both the game and the anime sucked, so we won't talk about it.