Since the entire series is not over I will likely copy and pasta the summaries and add some intros I may add something in my own words but I don't exactly have a silver tongue so here it goes.
Code: Breaker- Riding the bus one day, Sakurakouji Sakura looks out the window to see people being burned alive with a blue fire and a boy her age who's unharmed and standing over the people. She comes back to the site the next day and there are no corpses or evidence of any kind of murder, just a small fire. She then goes to class to find there's a new transfer student, Oogami Rei, who looks exactly like the boy she saw before and wears a black glove only on his left hand. Oogami is a Code Breaker, one who "does not exist". He is a seemingly cold-blooded killer who follows the principle of "an eye for an eye", to "use evil against evil". Convinced that killing is not right, Sakurakouji sets out to stop him and penetrate his icy heart.
Psycho-Pass- In the near future, it is possible to instantaneously measure a person's mental state, personality, and the probability that a person will commit crimes with technology called the Dominator. Just thinking about a crime can make you guilty, and in this world there is no mercy for criminals. Detectives work in pairs--one Enforcer and one Inspector--with Enforcers delivering lethal justice, and Inspectors making sure their partners don't take things too far. The story follows Enforcer Shinya Kogami, who must solve and manage crimes in this dark future.
Girlz Und Panzer- You may have heard of kung fu, but the girls at Oarai High School practice gun-fu - really, really BIG 75mm gun-fu, in fact. It's called Sensha-do, and it's the martial art of operating armored tanks! They take it seriously too, and since winning the national Sensha-do championship is such a huge deal at Oarai, they sometimes go to extreme ends in order to get the best students from Panzer class to sign up. Which is how Miho Nishizumi, who HATES operating tanks, gets drafted to join doomsday-driven driver Mako, even-triggered gunner Hana, highly receptive radio operator Saori and combustible tank-fangirl and loader Yukari as the incomparable Anko Team. They may not be on the half-track to fame and fortune, and maybe a few of them would rather shop for tank tops than become tops in tanks, but once their focus is locked and loaded, they're absolutely driven.
Just a side note on gogoanime.com (my main free anime video source) has subtitles in a mix of German and English, it's mainly English and you should be able to pick out some of the German.
Shinsekai Yori (Does not have an Opening)- About one thousand years into the future, civilization has been retrograded and humans are living dispersed within small communities. People in this era have a psychic power called "Juryoku" which materializes things they imagine. In the absence of advanced scientific technology, people are using this power as a major source of energy. One day, a girl called Saki, along with her friends, finds a small archive robot outside the town. It records the ancient history of humans. It tells them that Juryoku was found in the 21st century and the discovery caused a world war between psychics and non-psychics. The psychics won this war and thus their reign of terror began. When the adults in town figure out that the children discovered this forbidden knowledge, they seal their Juryoku and exile them. Saki and the others end up in a forest where they meet a huge hairless bipedal mouse known as a "Bakenezumi" and get involved in a violent war the creatures are currently engaged in.
Zetsuen no Tempest (also no opening via youtube)- The story revolves around Mahiro Fuwa, a teenager whose family was mysteriously murdered one year before and his friend Yoshino Takigawa. Mahiro is contacted by Hakaze Kusaribe, the leader of the Kusaribe clan who was left stranded on an unknown desert island by her followers, and agrees to help Hakaze in exchange of her help to find out the culprit for the death of his family. Upon learning of his friend's intentions, Yoshino joins him on his quest to stand against the Kusaribe clan who intends to awake the "Tree of Zetsuen" whose power can bring ruin to the entire world.
Like I said before if I find anything really interesting or a need-to-know fact about the anime I will edit this post. I hope you find yourself bored someday and watch some of these great animes. Some of them may be nearing their end or have ended though.