So... is BlazBlue: Alter Memory finished or not?
YES, it is finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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
It's the end of the year in a futuristic city, but the festive atmosphere is disrupted by news of a dangerous criminal.
Ragna the Bloodedge, a powerful rebel, has surfaced in Kagutsuchi, and his goal seems to be the destruction of the world order.
Attracted by a huge bounty, various powerful fighters are drawn to the city, each hoping to capture Ragna.
The anime centers around the gathering of these individuals and the conflict that arises from their pursuit of Ragna and his mysterious agenda.