 If you liked
Mushishi
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 ...then you might like
Kanon (2006)
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Mushishi and Kanon are definitely dissimilar in a lot of ways, but they share qualities too. for example, the main protagonists in both shows are very quiet and conserved and full of secrets. The two shows have the same sort of absent, airy feel while you watch them as well. Both these shows are some of my absolute favorites, and I enjoyed them thoroughly. If you got a kick out of Mushishi, you will probably like Kanon, and vice versa. I highly recommend both.