So... is Pinocchio yori Piccolino no Bouken finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
An old and lonely carpenter named Jeppet carves a puppet that magically comes to life. He names him Piccolino and raises him as his son.
Piccolino, despite having a good heart, is a mischievous puppet who constantly gets into trouble, causing worry for Jeppet.
Betrayed by cunning villains, Piccolino is separated from his father and embarks on a journey filled with adventure, trying to reunite with Jeppet.
Throughout his travels, Piccolino faces various challenges and must learn to overcome his naughty tendencies.
The story follows Piccolino's quest to find his father and his hope that, by being good, his greatest wish will come true.