If you liked
Nui!
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...then you might like
Shounen Dolls
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In both mangas, the protogonist have a special connection with dolls. And, they own 3 (In SE, I'm counting the rabbit guy as well) who can turn into humans to protect their master. There is also a "foe" who has one doll with him as well, to oppose the protogonist. They give off the same "treasure your dolls, or else they'll become evil" and "Dolls are things with souls" vibe. I haven't gotten far in either series, but I was shocked at how much they reminded me of each other.