Psycho-pass has its own sub-thread but it's under the retirement section.
Anyway, here's the new trailer.
The first and third movies took place after the 2014 movie.
Someone already review the first movie of the trilogy which was featured in the Tokyo International Film Festival a few days ago. Be warned that there's some spoilers in this one:
https://www.animenewsnetwork.com/rev...shment/.138865