Moves sometimes looks different in the anime than they do in the games. I think Pikachu's moves should be based on the the games, not the anime.
Two problems with your assertion:
1) Move animations aren't consistent within the games themselves. Even post-Gen 2, each generation skip gives several moves new animations that are different enough from their predecessors to be not just be considered a better-looking animation. The anime is far more consistent with move animations (except when they add 3D and glowing effects, the moves generally look the same from episode to episode). 2) The appearance of a move in the anime typically matches at least one of the game appearances of the move. --- http://i458.photobucket.com/albums/qq303/CharizardFire6/Char-Brawl.gif