or: Three Pilots and a Horaki
or: The German, Her Wife, Their Househusband and His Alien.
The world is recovering from the Third Impact. Asuka, Hikari, Shinji and Rei are living together. They aren't always very good at it.
It's not Rei's fault. Except the penguins.
Asuka gets brushed off by Rei Ayanami at school. But while she sees it as odd, she does not take the refusal lying down – instead, she concocts a plan and executes it.
The first part is a mostly-friendship-with-confused-feelings, lighthearted Asuka/Rei story. It happens during early days of Asuka's presence, around episodes 9. & 10.
The second part is confused-feelings-heading-toward-relationship Asuka/Rei story, picking up just after the first.
Asuka, Shinji and Rei deal with their individual and collective traumas together, with a little help from their friends. For better and worse. Til death do us (not) part.