 If you liked
Black Bird
|
 ...then you might like
Niehime to Kemono no Ou
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Sacrificial Princess and the King of Beasts and Black Bird are two fantasy shoujo manga about the romance between a young human girl and a far older fantasy beast man (though the former takes place in a fantasy world with beasts from all kinds of cultures and Black Bird is in Japan with Japanese beasts). There's a somewhat similar situation of the girl being in danger from demon/beastkind and having a sad childhood, and the beast wanting to take her as a bride—though Black Bird is more sexual and far less wholesome in execution.