It's annoying when a parent of one of the leads does a terrible thing by abandoning their child only to come back years later to try and beg for forgiveness. Any shows where that doesn't happen? Even if its not a major plot within the story, as long as the parent isn't forgiven. 

Maybe Doctors that starred Park Shinhye and Kim Raewon. As far as aI can remember PSH's character never did forgave her father.