 If you liked
Kamisama Hajimemashita
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 ...then you might like
Ayahatori Shoukanchou
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Both have familiar summons (althought in kamisama hijimemashita its demon familiars in Ayahatori shoukanjou its people and animals summoned from books)
both have strong female leads with a strong back story (KH the father left her and she basicly raised herself, in AS she also basicly raised herself)
in both the characters are confused as to weather they like each other (epically the guy)
overall they just reminded me of each other, though i loved both i think KH was better it was also longer. Ii highly recommend it and i think if you liked AS then you will like KH to :)