 If you liked
Hanbun no Tsuki ga Noboru Sora
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 ...then you might like
Shinigami no Ballad.
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both are sweet animes about death. Shinigami no Ballad is about a shinigami choosing whose life to take by watching the human live. Hanbun no Tsuki ga Noboru Sora is a romantic story about a girl who didnt have much time to live. if you liked any of these 2 animes, then you will surely like the other one.
Both animes are sad and dramatic...
I think they're really similar, and whoever watched Shinigami No Ballad will like Hanbun No Tsuki Ga Noboru Sora.