Story -
Almost on par with Death Note, here is a fascinating and suspenseful series about a government that monitors your mental state to judge whether or not you are a criminal. Psycho-Pass has plenty of twists and turns to keep you guessing and it is a very interesting story.
Art -
I'm not sure why some have complained about the animation. I think it's great at mixing the 2D with the 3D elements and it's great to look. It was by the same studio as Attack on Titan after all.
Sound -
The openings and ending songs are fantastic while the OST is okay... I can't really remember it well. The dub is pretty good I'd say, but the sub is probably more suiting (I just prefer dub).
Character - Don't expect super complex characters or anything since Psycho-Pass mainly focuses on psychological trip-ups and action, but I still found Kogami pretty cool (probably because I'm a sucker for bishies, but... whatever). The main female character has some development which is pretty good.
Enjoyment -
I was honestly sucked into the story from the first episode. I gasped several times out loud and there are even a few funny parts. I really liked it.
Overall -
This is a fantastic anime and should be regarded as a classic.