If you liked the Skip Beat! manga, the Anime-Planet community thinks you'd like:
The government has passed the Media Betterment Act, establishing a military police force to stop the spread of "negative influences harmful to society;" and in response, libraries have organized their own military units to protect freedom of expression. After being saved by a Library Defense Force agent in a bookstore, Kasahara is inspired to enlist in the Library Defense Force. Although she proves quite athletic and capable, she must endure the harsh but meaningful training of her instructor and superior officer, Doujou. As she learns how to be a good soldier, she participates in LDF operations, helping protect literary freedom for everyone.
The female protagonists in Toshokan Sensou Spitfire! and Skip Beat have an upbeat personality even though their current situation may be relatively bleak, they always see the sunshine at the end. They strive to make it to the top of their respective fields as the main male characters help them along the way without the female characters knowing.