What are the most engaging anime with strong psychological themes?

I'm really interested in anime that get into complex psychological themes and character development, but I'm not quite sure where to start. I've heard about shows like "Paranoia Agent" and "Perfect Blue," but I'm looking for more recommendations that really get into the mind and explore deep emotional and mental struggles. What do you think are the must-watch anime for someone wanting to get into this aspect of storytelling?

If you're getting into psychological themes, you absolutely have to check out "Neon Genesis Evangelion." It delves deep into its characters' psyches, exploring their fears and insecurities in a really profound way. Another gem is "Serial Experiments Lain," which examines identity and reality in the context of technology and social connections, it's super thought-provoking!

I found both shows left me with so many questions about myself and society. Have you seen anything by Satoshi Kon yet? "Paprika" and "Tokyo Godfathers" also play with psychological elements in unique ways. What aspects of character development resonate with you the most?