This is a pilot for The Star of Cottonland (Wata no Kuni Hoshi) which was later made into a feature film in 1984 by Mushi Production. Both are based off a manga created by Yumiko Oshima from the 1970s.

(Source: Bowl of Lentils)

After two-month-old kitten Chibi-neko is abandoned by her former owners, she is found by 18-year-old Tokio. Although his mother is allergic to cats and has a great fear of them, she agrees to let him keep the kitten because she fears he is becoming too withdrawn after failing his university entrance exams. Chibi-neko soon falls in love with Tokio.<br><br>
In her own mind, Chibi-neko is a small human who speaks in human words, although people only ever seem to hear her meow, and she believes that all humans were once kittens like her. A stray cat tells Chibi-neko of a paradise called Cottonland, where dreams can come true.<br><br>
(Source: Wikipedia)

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