So... is Aoi Umi no Tristia finished or not?
It is a bit ambiguous in this case.
Why?
The anime finished before the manga:
Anime finished: July 23, 2004
Manga finished: May 05, 2014
We could not confirm the source content in MangaUpdates.
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
Aoi Umi no Tristia tells the story of Tristia, once a beautiful and prosperous ocean city known for its maritime trade.
After a devastating dragon attack, the city fell into decline despite the citizens' best efforts to rebuild.
In a last-ditch attempt to save Tristia, the people call upon the legendary artisan, Prospero Flanka, known for reviving ruined cities.
Instead of Prospero himself, his granddaughter Nanoka arrives, setting the stage for a story centered around her role in the city's potential restoration.