Quite a bit, funnily enough.
I knocked some crap out, once I found out it belongs to the ... bleh ... harem genre.
Not new, but watching at the moment
Soredemo Sekai wa Utsukushii - It's okay, I guess the romance between child king and far land Princess is pretty entertaining. Although it doesn't feel like that much is happening. Apparently the manga isn't even over. :/
New.
Gugure! Kokkuri-san - Interesting, it's my current comedy/slice of life anime. Some of the jokes are hit or miss, but it is entertaining at the least. Now I'm wondering what they are going to do with the romance tag. I mean, is something going to happen or what? I'm hoping that they will make it somewhat serious like they do in some episodes.
Ookami Shoujo to Kuro Ouji - Your usual M girl who wants the S guy, though it seems they take the sadism of the guy pretty far. It is interesting, but I'm starting to cheer for the new guy that they introduced. It just reminds me of Kaichou wa Maid-Sama! I really want a second season for that show. For this show though, eh, it's okay I guess.
Fate/stay night (2014) - I really don't need to explain why this one is good, right? Though my only gripes is that they adapted the Unlimited Blade Works route, AND are giving the Heavens Feel a movie. For someone who ultimately supports the Fate route, the Shirou and Saber romance, and the ultimate ending of the game ... their route really needs some justice.
Log Horizon 2nd Season - I still like it. Sure, there is less action, but I am invested. Just give me the Shiroe and Akatsuki romance already. >.<
Shigatsu wa Kimi no Uso - I really like the animation on this one, it looks so very nice, ditto for the facial emotions. The story is interesting, but I really hate the female childhood friend of the protagonist, she just seems that she doesn't give a shit about him, yet, obviously, likes him. I want her to end up without him, because you can tell that the relationship with the MC and the main heroine is explosive!
Psycho-Pass 2 - Now this. The latest episode got me in the mood. While I'm wondering where the plot is going, the characters are still great. At the moment I'm waiting for the former season's hero to pop up and be awesome. Well that and hoping that the new inspector to get her shit together, I dislike her for now, but she needs to pick it up, before I really want her gone.
Kiseijuu: Sei no Kakuritsu - Interested in the series, I was too eager, and I jumped into the awesome manga. Watching this anime, I'm surprised they did not censor it like many this year. It is quite faithful to the original manga too, except that they placed it in a modern setting, which is interesting to be fair. Shinichi's appearance has changed to look more like a wimp at the start, but knowing the manga ... it is gonna get good. Now I hope is that they stay faithful to the manga.