So... is Tenka Hyakken: Meiji-kan e Youkoso! 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
In an alternate Meiji Era, long after a major battle, beings known as Mitsurugi, who are the embodiment of historical swords, have been living peacefully.
However, this tranquility is shattered when a new threat emerges, forcing the Mitsurugi to once again take up arms.
They must leave their peaceful lives behind and fight to protect the world from this new enemy, three centuries after the pivotal Battle of Sekigahara.