So... is Lupin Shanshei 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
Lupin Shanshei is a collection of ten short comedic episodes.
The series takes the core elements and characters of the beloved Lupin III franchise and playfully pokes fun at them.
Expect to see familiar faces and situations, but presented in a humorous and often unexpected way.
Each short likely features a self-contained story, lampooning different aspects of the original series, such as its heists, gadgets, and character dynamics.
The overarching theme is parody, so viewers can anticipate lighthearted and irreverent takes on the adventures of Lupin and his gang.