Originally released on the Playstation 2, then later released on the Nintendo Gamecube, Dragon Ball Z Budokai is a perfect example of what should be done with a video game based off an anime. The cutscenes and music in this game are fantastic. They get right to the point and the sweet guitar riffs just intensify the action.
There hasn't been a single DBZ game since this one to get the cutscenes right. Some of them were close, like Burst Limit for example.
But these games just didn't quite have the spark that Budokai had. Mostly from lack of animation. I swear, they stand in the same place doing the same gestures for like 5 minutes at a time. The battles in Budokai are pretty fun too. Simple, lacking all of the complicated button combos of more recent titles, the battles are still fast-paced and action packed. Clean.
Wouldn't it be awesome if they could do this sort of thing with other anime? I know one series I would love to see a properly made game after.
Now if only these other companies could afford those production values...