Apparently, some people hate this anime, I guess even popular shows that are GOOD get hate...
Ok, it's not an anime for everyone, so let's see what are the reasons people hate NGE!
What's so great about Neon Genesis Evangelion? Let's look at MAL reviews, since they can help us find the question, and possibly make us see the light!
I'm not forcing people to read all of this, the story is bad because they stay away from the traditional mecha action plot (even though it's a deconstruction) and there are lots of characters with depression, who have a hard time combating it, especially doing it alone (as if it's easy with or without somebody).
Oh and Shinji is the worst out of them all, why? Well he is a whiny bitch (even though anybody would be scared in his situation), doesn't want to get in his Eva (9/10 times he got in his Eva first) and he is a teenager piloting a giant robot instead of some experienced soldier (apparently I saw a different anime, since I think we find out why HE was chosen to pilot the robot).
You might say these are all just small MAL reviewers, you're correct, so let's read what the top rated MAL reviewer had to say about NGE!
I can basically copy+paste what I said about the previous reviews, are we on the same anime? I'm not talking about the Rebuilds.
In the end, people mix up not liking NGE out of personal reasons with being critical, so they try to find excuses to hate on it. NGE is designed to be a textbook of psychoanalysis. It's the benchmark of the psychological genre of anime, hell even in overall film.