So... is Tsuyoshi Shikkari Shinasai finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: December 25, 1994
Manga finished: September 01, 1986
... 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
Tsuyoshi Shikkari Shinasai centers around the everyday life of Tsuyoshi Ikawa, a young man living with his mother and sisters.
His sisters, while attractive and well-liked, are incredibly inept when it comes to housework.
With his father away on a temporary work assignment, Tsuyoshi finds himself solely responsible for maintaining the household, including all the cooking and cleaning.
The anime likely focuses on the comedic and often challenging situations that arise as Tsuyoshi tries to manage his family and his own life while dealing with his family's lack of domestic skills.