NO, it is not finished.
The anime finished before the manga:
Anime finished: April 21, 1991
Manga finished: January 21, 2004
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
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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Anime - Base
Release date: July 21, 1989
Anime - Sequel
Release date: January 21, 1991
Ariel Visual tells the story of Earth's defense against an alien invasion led by giant monsters.
A quirky scientist, Dr. Kishida, creates a giant female robot, Ariel, as humanity's last hope.
His granddaughters, initially reluctant to pilot Ariel and sacrifice their normal lives, find themselves at the center of the conflict.
Meanwhile, the alien invaders are facing their own internal problems, including budget issues and a visit from headquarters.
The fate of the world hinges on Aya, one of the granddaughters who may have to pilot Ariel, and Saber Starblast, a mysterious alien who could be the key to defeating the invaders.
It's a comedic and action-packed battle to save Earth, involving giant robots, reluctant heroes, and bureaucratic alien overlords.