In a number of shows, "I won't forgive you" or some variation is used as a threat. Rukia uses it when she is trying to keep Ichigo to follow her into the Soul Society, saying, "If you follow me, I will never forgive you." It is used similarly in other shows. In Vampire Knight, Kaien Cross says to Kaname that, if he makes Yuuki cry, he will never forgive him.
This doesn't seem to be used in Western television, or at least not to the same amount as it is in anime. Is this a part of Japanese culture or is this something that originated in anime/manga? If it did originate in anime/manga, where did it first appear?