So... is Totsugeki! Pappara-tai finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: March 27, 1999
Manga finished: January 27, 2011
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
Totsugeki! Pappara-tai centers around a highly skilled soldier, nicknamed the God of Death, who finds himself reassigned to the PaPaRa Army.
This isn't a promotion; the PaPaRa Army is known for its eccentric and outrageously funny members, despite their supposed elite status.
Instead of a grand narrative, the anime focuses on comedic situations and over-the-top antics that unfold as the God of Death tries to adjust to his new, chaotic environment.
Expect a barrage of humor, some absurd violence, and a complete disregard for conventional storytelling as the PaPaRa Army lives up to its reputation.
It's a series of interconnected comedic events rather than a plot-driven story.