Shinsekai Yori is propably the most underscored anime of the season, because it's story is building up really slow compared to most other anime. The first 3 episodes it feels like nothing happened at all and a lot of viewers propably stopped watching this great anime.
But if you hold out until episode 4 you are awarded with a lot of insight in what is hidden behind this happy-world facade.
Story: 10
Shinsekai Yori is really dependent on it's story which slowly builds up and keeps surprising the viewer every 2-3 episodes with some new shocking story details or an unexpected twist.
Art: 8 - Sound: 9
Art and sound are overall very good and match the style of Shinsekai Yori pretty well. Also IMHO the outro song Wareta Ringo by Risa Taneda is the best anime song of the season!
Character: 9
Each character of the group is really unique and the character development leaves no one behind. Also the focus on Saki as leading character is really good while she tries to figure out the greater image behind the story.
Enjoyment: 9
It would be 10 points for me, if the first episodes could be a bit more interesting, but otherwise this anime keeps me eagerly waiting for every next episode.
Overall 10
Why 10 points you ask?
Simple because Shinsekai Yori has a story which is so unique and thrilling!
IMHO we need more anime like this which make more use of the story instead of simple fights, ecchi etc. etc. etc...
EDIT: After having seen 19 episodes I can confirm, that this is certainly a masterpiece of a story and a really well done adaption as anime!!