Girlfriend of Steel 2

Girlfriend of Steel 2 (aka Iron Maiden) is a video game based on Neon Genesis Evangelion, released in 2005. "Gameplay" takes the form of a visual novel, with some dating simulation elements. The story is set in the alternate-universe that Shinji sees during Episode 26 of the original series, with Tokyo-3 at peace and Shinji going about his daily life.

Although this game is a sequel to Girlfriend of Steel 1, it's a "spiritual sequel" only.

Girlfriend of Steel 2 Manga

The Manga version of the video game is at it's core, the same, although the some of the characters act different, and it also includes a backstory about Kaworu that isn't in the game.

Shinji for one, acts more like his anime-counterpart since he isn't perverted, while the GoS2 video game Shinji is.