Arslan Senki: Arslan is the crown prince of a vaguely persian empire. He is pampered, but his parents mostly ignore him. He is soft-hearted, but when a slave escapes which takes him hostage, he learns that there is more going on in the world than what happens in the palace or the capital.
Interesting fantasy set-up -- I wonder how the soft Arslan is going to deal with becoming king in the next episode. Should be epic.
Hello!! Kiniro Mosaic: Straight continuation of Kiniro Mosaic, about Shinobu and her English friend Alice. Again, not much happens.
Nagato Yuki-chan no Shoushitsu: Set in the same world as 'The Dissapearance of Haruhi Suzumiya' (watch for her cameo!), the series focusses on Kyon and Yuki, who are in the Literature Club -- but they don't do many 'club-like' activities, it's mainly babysitting the very shy Yuki (who obviously has a thing for Kyon, and he knows it).
It might get good later, if they up the weirdness a bit. The first episode is not much more than a rather standard bishoujo plot, with characters from the SOS brigade swapped in.
Owari no Seraph: A virus wiped out everyone over 13. The children were then rounded up by vampires(!) and kept as cattle. Then a 'family' of orphans decides to escape to 'outside', but that turns into a bloodbath. Only one boy makes it out, and he is collected by a bunch of people who talk about a 'prophecy' and ask him if he wants to help them take out the vampires. You bet he does!
Pretty brutal, the vampires really regard the kids as something on the level of insects and play cruel games with them. There's probably quite a bit of violence coming their way when the kid grows up...
Re-Kan!: which means 'sixth sense'. The main character is a slightly unfocussed girl who can see (and interact) with ghosts. Her new classmate doesn't like spooky stuff, and is creeped out by it, but is also fascinated by her.
This could be really good if some dramatic plots are developed, or fall flat in only a few episodes because it relies on a gag that will become really tired really soon.