So... is Aa! Megami-sama! (TV) finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: August 23, 2013
Manga finished: April 25, 2014
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.
The mangas and the non-core contents are excluded by default, but you can enable them by clicking the buttons below:
Aa! Megami-sama! Movie
Ah! My Goddess: The Movie
Anime - Adaptation
Release date: October 21, 2000
Aa! Megami-sama! (TV)
Ah! My Goddess
Anime - Base
Release date: January 07, 2005
Aa! Megami-sama! Sorezore no Tsubasa
Ah! My Goddess: Flights of Fancy
Anime - Sequel
Release date: April 07, 2006
Aa! Megami-sama! Sorezore no Tsubasa Specials
Ah! My Goddess: Flights of Fancy Specials
Anime - Sequel
Release date: February 23, 2007
Aa! Megami-sama! Tatakau Tsubasa
Ah! My Goddess: Fighting Wings
Anime - Sequel
Release date: December 09, 2007
Aa! Megami-sama! (2011)
Ah! My Goddess: Together Forever
Anime - Sequel
Release date: February 23, 2011
Synopsis
Keiichi, an ordinary college student, accidentally calls the Goddess Help Hotline and wishes for the goddess Belldandy to stay with him forever.
This wish is unexpectedly granted, turning his life upside down. He's forced to navigate the awkwardness of living with a divine being and the social consequences that come with it.
Thrown out of his dorm, Keiichi and Belldandy eventually find a new home at a temple.
The series follows their journey as they adjust to living together, learning about each other and gradually developing a unique and possibly romantic connection despite their initial discomfort.