If you liked
Kainushi Juujin to Pet Joshikousei
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...then you might like
Niehime to Kemono no Ou
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Both about an human girl in a world ruled by monsters, both on the relatioship between an human and a monster
Both manga has very distinct similarities like the human girl being transported in an another world ruled by a race called the "Beast" and the girl will have relationship with a beast man or boy. It is fun to read and I love to recommend with you guys!!!!.