 If you liked
Andersen Douwa: Ningyohime
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 ...then you might like
Umi Monogatari: Anata ga Ite Kureta Koto
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Umi Monogatari and Hans Christian Anderson's The Little Mermaid are two anime that feature mermaids into the story. The mermaid character(s) go above the surface of the sea and meet someone from the land. The ED for Umi Monogatari even features the two mermaid sisters watching a slideshow of the original The Little Mermaid fairytale.