 If you liked
Kyousou no Simulacra
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 ...then you might like
Machine-Doll wa Kizutsukanai
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Both manga involve humanoid dolls/puppets that are able to think, speak and act for themselves. Notably, the main female protagonists Kubikirimaru from Kyousou no Simulacra and Yaya from Kikou Shoujo, are not human, but one of these dolls. They are also frequently involved in combat situations.