Here's my advice:
-Do not listen to what anyone else says unless they provide proof
-Rewatch the first 24 episodes and EoE (Japanese with English subtitles, of course) with one finger on the pause button. Whenever a character says something that you think might be significant, or when you see a possible visual clue (like any time when words other than subtitles appear on the screen), write it down verbatim. Remember, though, that the characters are not all honest, "in the loop", or even sane, so not everything that they say is true... Ritsuko in particular seems to say a lot of questionable things, and the Stay-Puft Marshmallow Man nailed to the red cross in Terminal Dogma is NOT really Adam, despite what Kaji says.
-Read over your notes and try to piece together as much as possible.
-Knowing what you now know, watch the first 24 episodes and EoE again, this time making sure that everything is consistent with your conclusions, or maybe noticing things that you hadn't noticed before. Take note of any inconsistencies and try to work them out, or figure out which side is true.
A few bits of info to get you started:
-Kaji was killed by the Men in Black, not Misato. The show's creator/director said so.
-Dr. Naoko Akagi's soul is NOT in Unit 00, no matter how many n00bs tell you otherwise.
-Don't ask what Gendo said to Ritsuko, because no one has ever figured it out... not even Ritsuko's japanese voice actress!
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