So... is Sora no Otoshimono finished or not?
YES, it is finished.
Why?
The anime finished after the manga:
Anime finished: April 26, 2014
Manga finished: February 26, 2014
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.
The mangas and the non-core contents are excluded by default, but you can enable them by clicking the buttons below:
Sora no Otoshimono
Heaven's Lost Property
Anime - Base
Release date: October 05, 2009
Sora no Otoshimono: Project Pink
Heaven's Lost Property OVA
Anime - Sequel
Release date: September 09, 2010
Sora no Otoshimono Forte
Heaven's Lost Property Forte
Anime - Sequel
Release date: October 02, 2010
Sora no Otoshimono: Tokeijikake no Angeloid
Heaven's Lost Property the Movie: The Angeloid of Clockwork
Anime - Sequel
Release date: June 25, 2011
Sora no Otoshimono Final: Eternal My Master
Heaven's Lost Property: My Eternal Master
Anime - Sequel
Release date: April 26, 2014
Synopsis
Sora no Otoshimono centers on Tomoki, a boy haunted by recurring dreams of angels. His friend, Sohara, enlists the help of Sugata, a quirky researcher obsessed with the sky, to investigate these dreams.
They believe Tomoki's dreams are linked to a mysterious floating landmass called the New World. As they form a club to study this phenomenon, Tomoki's life takes a bizarre turn.
Suddenly, a strange girl falls from the sky and pledges her loyalty to him. The anime follows Tomoki and the newly formed club as they navigate the arrival of these otherworldly beings, known as Angeloids, and try to unravel the secrets surrounding them.