 If you liked
Kamisama Hajimemashita
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 ...then you might like
Mahoutsukai no Yome
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While they have different plots as well as different settings (one is set in Japan, the other in England), both Kamisama Hajimemashita and The Ancient Magus' Bride share the common theme of 'Beauty and the beast'.
An abandonned, sad girl weeping in the streets (Nanami and Chise) meets a seemingly mature yet mysterious fellow (Tomoe and Elias). As the story goes on, they both learn about each other, in many ways.