Ahh yes Shinji is definitely one. The entire point of his character is that he is someone who, in the normal world, would be carted for psychiatric help and wouldn't be anywhere near the battlefield.
In the normal world, he probably never would have needed psychiatric help at all, even if he
did end up on the battlefield. With his mom still around and his dad (both of which were incredibly high functioning individuals, and the latter in particular entirely capable of raising a healthy kid if he actually gave a damn regarding doing so)
not trying to break existence in response to her dying, it's pretty damn likely he would have turned out healthy. Dude was a decent musician, by all appearances fairly intelligent and actually pretty capable of holding himself together, just more or less abused and neglected and then thrown into battle with eldritch abominations. Not really a loser for cracking under that kind of pressure... more just, y'know, normal. Human. He reacts better to his situation than most people would, really, it's just that the situation is pretty incredibly shitty.
Now, some of the ways he responded... yeah, that was being a proverbial degenerate, but in general, well. He didn't kill himself, and that's better than some of the characters in the show :V