 If you liked
Mahoutsukai no Yome
|
 ...then you might like
Phantom in the Twilight
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These two anime contain mythical creatures, Phantom in the Twilight calls them the Umbra, while Mahoutsukai no Yome has no specific name, since they are from different species.
Umbra exists from the creation of human's mind. The others already exists and living hidden among the humans. So if you are looking for more anime that contains these kind, well you are looking for the right place, just expect it to be less romantic and definitely no harem for Mahoutsukai. Also barely fighting scenes, but beautiful animation.