Kyokai no Kanata/Beyond the Boundary
Kyokai no Kanata is fantasy-action anime from Kyoto Animation(K-On!, Tamako Market, Free!) based on the light novel of the same name focusing on a half-human, half-Youmu high school student named Akihito Kanbara with immortality and a young girl named Mirai Kuriyama who is able to create a sword out of her own blood and fights against Youmu(monsters from the spirit world) as a Spirit World Warrior. So far, it's turned out to be pretty interesting, although the first episode ends on a cliffhanger that I have no intention of spoiling. Watch it for yourself if you really want to know.
Golden Time is a romantic-comedy series based on the light novel series of the same name from the creator of Toradora and focuses on a college freshman named Banri Tada who, upon falling off a bridge after his high school graduation, suffers from retrograde amnesia, unable to remember anything from before. Now, upon entering a private law school, Banri becomes friends with Mitsuo Yanagisawa, who is trying to escape from his childhood friend, Koko Kaga, with no such luck. Koko followed Mitsuo to the same law school intent on getting him to marry her. To this extent, she asks Banri about Mitsuo's plans, and relentlessly follows after him. The first episode really isn't enough for me to form an opinion on the series, and I plan to watch at least the next episode first.