 If you liked
Hige wo Soru. Soshite Joshikousei wo Hirou.
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 ...then you might like
Mii-chan wa Kawaretai
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The two mangas have the same dynamic between the MCs : a 30ish man meets a teenage girl that is searching for a new home. The male becomes kind of her guardian angel.
Mii-chan is still in its early stages and doesn't have any drama so far, therefore the atmosphere is way more happier, but I still think that if you enjoy one of these stories, you'll probably like the other one !