There's a clear distinction between games and film here and that's the interactive element. Games react to player input and a lower framerate results in a pretty poor experience for players (especially in fast paced games like first person shooters). Add to this the fact that games have only recently been adding motion blur, a much higher framerate than film's rate of 24 is important for maintaining a fluid image.

As someone who primarily plays first person shooters (TF2 and Quake Live), anything less than 60FPS looks awful to me, I play on a 120hz LCD.