I saw this a long time ago, but I remember it well so...
Please note that an MBTI ISFP is considered to have Fi+Se functions. But these definitions are different from Jungs and less coherent. The MBTI dichotomies line up with different Jungian functions. So an ISFP to me is Si+Fe. If MBTI wants to create a new theory, it should use different names for the functions then. It's highly annoying and very idiotic to contradict the source they were taken from.
for instance, going by MBTI definitions, people will tell you that an INTJ with Ni-Te is a judger because of the second function. BUT, the first function is the strongest part of the ego and it colors everything else. They are a perceiver first. It's bullshit logic to justify nonsense that was already wrong to begin with.
Asuka - Se(Fi) or Fe(Si)
Shinji - at least an introvert. non-judgmental/perceiver, so that leaves Ni and Si. Whether you say Si-Fe (ISFP) or Si-Te (ISTP) I guess will depend on what you want to then assume. Some people only have a first function. Dom-Tert loops are sometimes used to justify these differences, but they are way too nuanced. dom-tert loops are an interesting idea, but it's not at all empirical and extremely vague.
Gendo - introvert. judgmental, so that leaves Ti and Fi. Fi is not him at all. Ti fits well. Either INTJ or ISTJ.
Rei - hmmm...she was kind of unreal. Didn't have a thought about anything and just did what Gendo wanted, mostly. The way she thinks is kind of empty. I guess that was the point since she wasn't supposed to be human. There's really not much to go on as far as personality.
Kaworu - some kind of extrovert. Either Se or Ne, Fe and Te doesn't make much sense. Fi as the second function seems to make much more sense than Ti.
Pen-Pen - GOD
I don't remember any of the other characters. I guess there was the lady that liked to sleep around or something and the scientist lady who was probably an actual Fi type. But I don't really remember that much.
Does this resonant with what you thought?