Complete Monster: The 2006 remake's version of the Stranger is a Serial Killer who stalks, terrifies and eventually murders young women for the joy of it. He prefers to target babysitters, having no compunction about killing the children that they are watching over either. He murders a babysitter and her two charges on the other side of town, and then preys on Jill for the rest of the film, killing her best friend Tiffany and a housekeeper in the process. He is eventually stopped and arrested, but the ordeal proves so traumatic for Jill that she suffers a psychotic break, dreaming that the Stranger is still there to torment her.
First Installment Wins: The film's iconic first act (the babysitter alone getting The Calls Are Coming from Inside the House) is far more vividly remembered and positively received than the rest of the film, which is likely why it was made the focus of the remake.