Author has written 4 stories for Evangelion.
Also, on the subject of Gob Hobblin, obligatory plug for his excellent EVA Sessions: You Can (Never) Trust because I love it (and was beta-reader for chapters 33-58).
Specific fics I recommend, not written by the above:
Harry Potter and the Methods of Rationality by Less Wrong (HP) - What if Harry's Aunt Petunia married a morally upright scientist instead of a pile of trash?
The Taming of the Horse by Vince Seifert (Ranma) - Ranma means "Wild Horse." Akane makes the obvious connection and decides to do something about their problems.
The Cat Who Walks Through Walls by Laryna6 (Eva) - Likable Kaworu? Stranger things have happened. Fundamentally altered my perception of the 17th Angel.
No More Pussyfooting Around by Indygodusk (Ranma) - One of the best Ranma/Akane fics in recent memory. Martial arts, magic, math, and more awesome story than you can shake an aquatranssexual at.
Ghosts of Evangelion by Bagheera (Eva, hosted on the EvaGeeks forum) - A Post-3I Shinji/Asuka story with a focus on realistically exploring how they might come together with all of their very serious mental issues.
What Do You Want? by polenicus (Ranma) - Nabiki/Ranma has never worked this well. Get ready for a wild ride.
Anyway, I've been there (Gravity Falls) by Caleb Nova - The best continuation fic I've read, and probably the only one that feels to me like watching another season of the show.
Notes on my fics
Terminus: A possible interpretation of Shinji and Asuka's thoughts on the beach after 3I.
Drops of Understanding: PoV character studies, with a rigorous effort at canon characterization.
Risk and Reward: The first fic I ever finished. Simple, nice, go read it if you want some fluff that won't give you cavities.
Post-3I fics that don't do the work of connecting EoE to the fic's present:
Letting Go (Holding On): Shinji and Asuka, suffering from the human heart's tendency to hold onto things it should maybe let go of.
C.W. Smith (30)
Candy Cane Jones (6)
DB Sommer (108)
deer hunter (5)
jino turtlegod (15)
Karina Kineshi (15)
Lang Noi (35)
Less Wrong (1)
Maiden of the Moon (327)
Tail Kinker (26)
The Prime Minister (20)