Five Enough has a widower father with two small children, so I don't see how this would count. (Excellent drama, BTW.) Also, with Secretary Kim, is he living in the same home with his adult children?
7. The Bachelors - widower dad has been living with his youngest son, almost 30 years old. Another son moves back to the city and returns home temporarily, then a third son's marriage problems causes him to go back to living with his father.
8. My Father Is Strange