So... is Kyou kara Ore wa!! finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: December 21, 1997
Manga finished: October 01, 1997
... 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
Kyou kara Ore wa!! follows two high school transfer students who want to ditch their ordinary lives and become the toughest delinquents around.
Mitsuhashi and Itou, each with their own unique (and often conflicting) styles of delinquency, initially find themselves at odds.
However, they quickly realize the benefits of teamwork and forge a strong friendship.
Together, this unlikely duo embarks on a series of comedic and action-packed adventures as they navigate the world of high school delinquents and strive to reach the top.