For example, Ego, who started genuinely caring for Meredith Quill but destroyed that redeeming quality by killing her to prevent himself from loving her and to not abandon his goal.
The Joker actually had one of these moments as well, he started genuinely developing feelings for Harley Quinn but hated those feelings so he sent her into a space rocket.
He briefly regained them in Emperor Joker as well, which is really the only reason he isn't PE in that comic. Oh yeah and in Going Sane when he thought Batman died, he actually tried to live a normal life with a wife before Batman returned.
But I do know of Pride from FMA 2003 who might have cared for his son but destroys it once he killed him over a remaining piece of his skull, the only thing keeping him alive.