Starting to peruse it. Reminds me of an idea I have somewhere where Shinji, Rei and Asuka go on Letterman's show and count down the "Top Ten Things I Won't Miss About Piloting a Giant Robot".I stumbled across this Eva/Late Night with Conan O'Brien crossover that... while the pairing is absolute insanity, I could actually see it fitting in following the events of A&T and/or Chronicles:
Maya Ibuki on Her Time Before and After NERV | Late Night with Conan O'Brien - Chapter 1 - SpiderInStockings - Neon Genesis Evangelion [Archive of Our Own]
An Archive of Our Own, a project of the Organization for Transformative Worksarchiveofourown.org
Just stick with it past the set-up, it surprised the hell out of me in the best way.