 If you liked
Hanbun no Tsuki ga Noboru Sora
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 ...then you might like
Kanon (2006)
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Both anime deal with sad stories, but have plenty of funny moments too. Hanbun no Tsuki ga Noboru Sora is similar to the arc of Kanon centered around Shiori, for they are both about a girl with a fatal disease. Coincidentally, the action of both series takes place during winter and the main character is a guy called Yuuichi.