Pfft, I was expecting more of a quip from you. I was trying to set you up bro...
I really like psychological kinds of shows. I can pass on the extreme action/explosion genre if you just give me a good plot twist and things to think about.
With that in mind...
Angel Beats: This is the most comedic of the three. It reminds me of Rugrats in that there's always a scheme for the gang to do. The overall theme of the show is character development, and they go about it with a mix of jokes, dark stories, and some fun and ridiculous hijinks. I loved the entire show.
Psycho Pass: As soon as I saw what this was about, I knew I needed to see it. This is the epitome of psychological thriller (maybe thriller is the wrong word), but the story is about them discovering the major weakness of a utopian culture (This is also why I loved Bioshock and :infinite). While I hated the main characters haircut, seriously she could've looked WAaaaaayy better with different hair, the characters were a believable bunch.
Tokyo Ghoul: I liked the division of this show. One of my nanowrimo stories was based on a similar theme of "who's the real monster?" Tokyo Ghoul explores the depths of segregation. It is arguably the darkest of the three, and undoubtedly the goriest, but the art style was amazing and they had some great fights and themes to explore. It helps that the main character literally had this world thrust upon him so he's learning about it along with the audience. Plus, I really loved the opening.
Honorable Mentions go to
Spice and Wolf and
Sword Art Online.
Spice and Wolf is extremely talky and I understand that's not everyone's cup of tea; SAO really explored the cause/effect of VR on the world. For me it was either Psycho Pass or this, and I think Psycho Pass had a better overall story (havinga developer lock people in a game for years while "acceptable" is silly when you think about it), even though I think SAO had better characters.
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I also forogt to add Mirai Nikki, and Accel World to my list of ones I liked.
I copied and pasted a list of stuff I'd watch with my friend when we get together. But he's not one for swears or gore or such.
I also forgot Attack on Titan, and Fullmetal Alchemist: Brotherhood altogether (because he's already seen both of those)
EDIT: Yes they are in order too, I forgot to mention that.
Angel Beats is more generic anime, the other two get more to my particular tastes