So... is Oh! Family finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: March 30, 1987
Manga finished: January 01, 1985
... But MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
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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Synopsis
Oh! Family follows the everyday lives of the Anderson family in Florida.
The anime explores their relationships with each other, highlighting how their unique personalities sometimes clash but ultimately strengthen their family bond.
Expect to see them navigate various experiences, both ordinary and unusual, as they learn and grow together as a family.