It Follows
Carefree teen Jay sleeps with her new boyfriend for the first time, only to learn that she has become the next recipient of a fatal curse that is passed on through intercourse. It Follows leaves gore behind in favor of the scariest premise of all—death is always a few steps behind.
The Invisible Man
An abusive scientist uses his own technology to turn invisible and terrorize his ex-girlfriend as she desperately attempts to escape him. While The Invisible Man does feature a fair amount of blood, you'll be too busy rooting for Elisabeth Moss to be distracted by the minimal ick factor.