There is at least one such game (The Thing)

In the sense that the partner has a psychological condition and they react differently to situations,including shoot,well, that is not less original can turn into a monster,and of course it is desirable that the game was not so old,because ideas The Thing is really original but the mechanics because the game is old,very crooked and clumsy.

Ah would make a good remake (like Capcom did for RE2), it would be really cool.