 If you liked
Shinseiki Evangelion
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 ...then you might like
Shouwa Genroku Rakugo Shinjuu: Sukeroku Futatabi-hen
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Both focus on a deep character development, especially in the way the main character deals with people around him. Is our life just ours? How much are we responsible for the people around us who love us?
The main characters in both of these anime deal with such problems, thinking about their lives and deciding whether it's worth even trying to change something or not. Does it matter if I die like this? Am I able to actually do anything good in this state I am right now?
If you liked this psychological aspect in NGE, you'll definitely love Rakugo.