I only reminded the Japanese old stories for children when I saw this question. Such as Momo-tarou, Akazukin-chan, Urashima-tarou, etc.
After that, I reminded a famous animation from Ghibli. It is "Majo-no-Takkyubin" ("Kiki's delivery service" in English). The heroine is Kiki who is a young witch. She needs to live alone in a city to be a grown witch. She goes to a city with her black cat named Gigi. Gigi can talk to Kiki and always encourages her when she faced problems. But Kiki cannot understand what Gigi says when it comes to the end of story. I think it means the day when Kiki can live her life without Gigi's help.
I like this story because it gives me a positive feeling after I watch this film.
Posted for Tomoko