Kills Me can be used in describing a thing, person, object or anything basically. It means that a thing has a trait that causes an emotionally reaction in the person viewing the thing.
Variations are;
Kill me
Killed me
The well known novel, The Catcher in the Rye (J.D. Salinger) features the character Holden Caulfield who frequently uses the phrase when reacting to phonies.
> That girl is so good looking she kills me.
> That movie was so bad it killed me.