A Princess Maker-esqe raising sim created by Gainax and set in the Neon Genesis Evangelion universe. The player (as Katsuragi Misato) is given the task of raising Ikari Shinji. The story follows relatively closely to the anime, but the decisions you make for Shinji will alter and change the outcomes reached.
A manga series by the same name was created by Takahashi Osamu. It ran from 2005 to 2016 in Shonen Ace.