So... is Toshokan Sensou finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: June 16, 2012
Manga finished: February 10, 2015
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:
Toshokan Sensou
Library Wars
Anime - Base
Release date: April 11, 2008
Toshokan Sensou: Kakumei no Tsubasa
Library Wars: The Wings of Revolution
Anime - Sequel
Release date: June 16, 2012
Synopsis
In a near-future Japan where the government censors media it deems harmful, libraries have become havens for free expression, protected by armed Library Defense Forces.
Iku Kasahara, inspired by a LDF member who saved her favorite book from censors in her youth, joins the Library Defense Force, hoping to become just like her hero.
She faces rigorous training under the strict supervision of Atsushi Doujou, a member of the elite Library Task Force.
Despite her struggles, she is unexpectedly selected for the LTF, and must now prove her worth while trying to understand her demanding superior and fighting for the freedom to read.