I haven't watched all of it, so please put spoilers under a spoiler tag or just don't post them at all! My friends came up last weekend and we watched eight or nine episodes together, and I like it so far!
Psycho-Pass is an anime set in the future (2112, I think?), and the general idea is everyone has a "psycho-pass" that keeps tabs on their mental health. There's a police force that tracks anyone who reaches dangerous levels (who might become violent or murderous), and our story is about a young inspector who's just joined the force.
It's been awhile since I've watched anime, and I tend not to get into it much, but I really like this one and look forward to finishing it.