 If you liked
Darker than Black: Kuro no Keiyakusha Gaiden
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 ...then you might like
Violet Evergarden
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Both anime deal about a human that behaves like a doll, and both girls try to understand the things they feel and how important their companion is to them. However, darker than black has a less major impact on the relationship between the 2 main characters than Violet Evergarden has.