 If you liked
Chi's Sweet Home
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 ...then you might like
Doukyonin wa Hiza, Tokidoki, Atama no Ue.
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Both Chi and Haru are stray cats that are taken in by luck to a semi-reluctant new owner. (Semi-reluctant for different reasons mind you. Subaru likes to be alone, and the Yomada's landlady doesn't allow pets.) Both cats quickly adjust to being pets, and in both cases the humans end up keeping the stray cat they found.