So... is Hoero! Bun Bun finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Hoero! Bun Bun tells the story of a small, abandoned puppy named Bunbun.
Lost and alone, Bunbun encounters Big, a seasoned stray dog who takes him under his wing.
The anime follows Bunbun's journey as he learns about the harsh realities of life as a stray, navigating a challenging and unfamiliar environment.
Viewers will witness Bunbun's growth and development as he adapts to his new circumstances, guided by Big's experience and wisdom. Survival and friendship are central themes.