So... is Akadou Suzunosuke finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: March 28, 1973
Manga finished: January 01, 1965
... 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
Akadou Suzunosuke tells the story of a youthful swordsman who unexpectedly finds himself embroiled in a dangerous political conflict.
He discovers a conspiracy that threatens the current ruling government, the shogunate.
This young swordsman must navigate the treacherous world of political intrigue as he grapples with the implications of this plot.
His actions will likely have a significant impact on the future of the nation, but how he will respond to this situation remains to be seen.