So... is Bobobo-bo Bo-bobo finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: October 15, 2005
Manga finished: July 02, 2007
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
In a future where a hair-hating empire is stealing people's locks and freedom, a wild and wacky hero named Bobobo-bo Bo-bobo, armed with powerful nose hairs and a golden afro, rises to defend the world's hair!
He rescues a young girl named Beauty from the clutches of the Maruhage Empire and together they embark on a bizarre journey to defeat the tyrannical Emperor Tsuru Tsurulina IV.
Along the way, Bo-bobo and Beauty will meet a cast of eccentric characters, both allies and enemies, as they battle their way through the Maruhage Empire, all in the name of protecting hair everywhere and having a ton of laughs.
The anime follows their chaotic adventures as they confront increasingly strange and ridiculous opponents, using Bo-bobo's unique fighting style and the power of hair to overcome any challenge.