So... is Beast Saga 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)
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
On the planet Beast, three distinct tribes – the Sea Tribe, the Land Tribe, and the Sky Tribe – are locked in an ongoing conflict.
Their battles are driven by the pursuit of honor and the need to protect a powerful, seemingly limitless energy source known as Godlot.
Each tribe safeguards their own share of this elemental power, leading to frequent clashes and struggles for dominance.