So... is Tanoshii Muumin Ikka finished or not?
YES, it is finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Tanoshii Muumin Ikka
Moomin
Anime - Base
Release date: April 12, 1990
Tanoshii Muumin Ikka Bouken Nikki
楽しいムーミン一家 冒険日記
Anime - Sequel
Release date: October 10, 1991
Muumindani no Suisei
Comet in Moominland
Anime - Prequel
Release date: August 08, 1992
