Shinigami Hime No Saikon
The Villains Beloved Daughter
Becoming the Dark Hero's Daughter
Daughter of the Archmage
Yes, it is mainly action, but hear me out (favs):
Welcome to Demon School! Iruma-kun
For My Own Good
Not an abusive household but he is an orphan looking for his adoptive mom (all time favorite):
On the Way to Meet Mom
I would have put this one as more of a joke, but I dont know if you would like to read it: ( batman becomes a baby and the joker becomes a good parent)
Joker: One Operation Joker

Looking for historical shoujo recs where the mc is in an abusive household then goes to a more caring one