Riddle - Absentee father
Richard - Loves his father to the point of kissing his decapitated head
Leon - Daddy went crazy, sent off his mother and sister so they wouldn't get affected by his madness, is both neglectful and abusive toward Leon so much so that the boy changed his name so he wouldn't be associated to him.

Yukio - His father is Satan. He hates this.
Lucifer - His father is also Satan. Somehow he is extremely loyal to his father...

Valentino - Father unknown, headcanon says he kicked his own son out for being gay (which he wasn't, really... he's pan fwiw but it's not like it mattered back then...) so not the best daddy in the world. The only one he calls daddy now is Vox
Alastor - I haven't really dug too deep in headcanon territory but met with a 'hunting accident'...

Riddle’s dad basically abandoned him to the shitstorm that is Mrs. Rosehearts and he deserves a kick in the ass for it.

lol