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I'm Plugged Into a Robot Who's About to Kill My New BF and It's Taking A Long Time AMA
(hexbear.net)
Been just sitting here listening to Ode to Joy for like 2 hours now. It was really awful, and still is. This sucks, but it's taking so fucking long...so I took out my phone. I'm fucked up, I know. But I've got time to kill ama
Well, there's this open access edited volume Anime Studies: Media-Specific Approaches to Neon Genesis Evangelion; it's not generally about that, but there might be some tidbits (and relevant to the OP, there's a chapter entitled Creating Happy Endings: Yaoi Fanworks as Audience Response to Kaworu and Shinji’s Relationship).
More relevant to your question, here's a random assortment of Google Scholar results:
My Father, He Killed Me; My Mother, She Ate Me: Self, Desire, Engendering, and the Mother in Neon Genesis Evangelion
Boy with machine: A Deleuzo-Guattarian critique of Neon Genesis Evangelion (full text available on Sci-Hub, just paste in the DOI:
10.1353/mec.0.0010)Japanese Science Fiction in Converging Media: Alienation and Neon Genesis Evangelion (couldn't link directly to the PDF and the Academia.edu page would require a login, so I've linked the Google Scholar result which will take you to the PDF if you click on it)
Exegesis and Authorial Agency through Judeo-Christian Iconography in Japanese Anime: Neon Genesis Evangelion (1995-97) as an Open Work
You Are Not Alone: Self-Identity and Modernity in Neon Genesis Evangelion and Kokoro