The Neon Genesis Evangelion manga has indeed finished. It reached its conclusion after a series of chapters and story arcs that wrapped up the plotlines.
Sure! Neon Genesis Evangelion has a manga version. It presents the story and characters in a different format from the anime, but still retains the core elements that made the series popular.
Neon Genesis Evangelion's full story is about humanity's fight against the Angels. Shinji is brought into this battle reluctantly. The Evangelions are the only hope to stop the Angels from reaching Terminal Dogma. Along the way, Shinji forms relationships with other pilots like Asuka and Rei. The story also has elements of religious symbolism. For example, the Angels have names with religious connotations. The story gets darker as it progresses, exploring the psychological breakdown of the characters due to the intense pressure of the situation.