If you liked
Ayakashi: Japanese Classic Horror
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...then you might like
Kaguya-hime no Monogatari
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The heroines of the Ayakashi are similar to Kaguya-hime in different ways: In the first story of Ayakashi, a beautiful woman that has suffered a lot is presented. In the second story, a non-human woman with supernatural powers falls for a mortal man. The last story is about a beautiful girl - who resembles Kaguya-hime - and her sufferings as she was parted from her relatives and held as a prisoner.
If you liked
Stranger: Mukou Hadan
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...then you might like
Saraiya Goyou
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Both are about a ronin who undertakes to protect a person with mysterious past and finds himself involved in a dangerous situation.
If you liked
Tonari no Totoro
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...then you might like
Mari Iyagi
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Both anime are about a child who finds magical friends and have adventures together in a magical world.
If you liked
Mari Iyagi
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...then you might like
Hotarubi no Mori e
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The mcs had a magical friend of the opposite sex when they were children and used to pass much time together in the woods/magical world.
If you liked
Kimi ni Todoke
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...then you might like
Pupipo!
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Mcs have similarities in their appearance. Both used to be avoided by their peers because they have a creepy aura around them. They manage to make friends during the series.
If you liked
Oneechan ga Kita
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...then you might like
Wakako-zake
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Both are short anime series with a cute female mc, who is overly fond of something (tasting food in Wakako-zake, brother in Oneechan ga Kita).
If you liked
Stranger: Mukou Hadan
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...then you might like
Asura
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Similar atmospheres. Contiguous eras. These 2 anime show vagrant warriors (a monk in Asura, a ronin in Sword of the Stranger), who, one way or another, save and form a bond with a young neglected boy.