This is the first anime season I've been really interested in since last fall's. So, my opinions:
Free!- I like it. Kyoani never fails to deliver in the animation department.
Dangan Ronpa- As a big fan of the game (which I am familiar with though the LP), I don't thing the adaptation is particularly good. Also, the show looks rather low budget. Good news though: the game has been localized for the PS Vita and is set to release in the UK and the US early next year. Those who are interested in the story might want to hold off and wait to play the game, which will most certainly be a better experience than watching the anime.
Kiniro Mosaic- It's cute, and the animation is surprisingly fluid. However, it just seems like a fluffy, no substance kind of show, which isn't really what I want to watch.
Uchouten Kazoku- Those ears...why? I stopped watching about halfway through the episode; it wasn't really catching my attention.
Monogatari 2nd Season- Good old Monogatari is back. I'm happy to see that the animation is much better than that in Nekomongatari.
Kami Nomi zo Shiru Sekai S3- It'll be nice seeing the goddess arc animated. I'm just glad that this series is getting a 3rd season in the first place.
Watamote- Wow, awkward. I might or might not continue watching.