What I Liked: Solid world-building and image of a technologically-advanced society a century from now. Interesting and well-implimented science-fiction elements. Nice atmosphere. Soundtrack is one of the better crime-thriller soundtracks I've heard for a while. The second Opening. The character development of Akane Tsunemori. Takahiro Sakurai was surprisingly good as the antagonist Shougo Makishima. An interesting exploration of the relationship between justice and morality, as well as technological and governmental dependency versus true autonomy.
What I Didn't: The first Opening (mainly because the singer's falsetto really sucked hard). Some of the computer-related technology could be seen as not creative enough. Use of (mostly) verbal literary allusions and mentions that seem to increase as the series progresses may alienate some viewers.
Final Verdict: Psycho-Pass is a fast-paced and brilliantly executed crime-thriller set in a society dependant on technology. While it uses a lot to concepts typical to the dystopian and science-fiction genres, and is highly violent at times, it rarely fails at being interesting and thought-provoking. Your mileage may vary, though, if characters making literary allusions annoys you in any way.