I've actually thought that a Lin Kuei game could be a good idea. There's a number of ways they could it, such as starting you out as a member in training who has to rise through the ranks until he becomes a top assassin for the clan.
Actually, scratch that, I'd rather see a game that follows the history of the rivalry betweem the Shirai Ryu and Lin Kuei clans. They could have you pick the side you wanted to be on and you'd basically play through the game as either Scorpion (beginning with his human form) or Sub-Zero (beginning with the assassin from the first MK or possibly even an earlier incarnation). I'd just really like to see the history between those two expanded on and have all the plot-holes filled in, so I think a game specifically for them would be a great idea.