Fslslayer's Recommendation

Anime: Zero no Tsukaima

Meet Louise, a budding magician. The students at the Tristein Academy call her "Zero Louise", due to her current record of zero successes with magic. In fact, her magic tends to go spectacularly wrong. Now, as an important test of her aptitude for magic, she must summon a familiar to be her servant. At this critical moment, she summons up all her magic and wishes for a familiar that is "devoted, beautiful and powerful", and gets... Hiraga Saito, an ordinary Japanese boy. It's difficult to say who is more surprised and dismayed, but the rules don't allow for second attempts. Louise is stuck with her strange familiar, and he with her.

Witchhuntress's Recommendation

Anime: Ga Rei Zero

The Japanese Ministry of Defense has an anti-paranormal special forces group called the Supernatural Disaster Prevention Agency. They're the ones responsible to protect Japanese soil and its people from supernatural and paranormal events. However, things didn't go so well in one of their missions, which leads to intervention by the Ministry of Enviroment's Supernatural Disaster Countermeasures Division after the SDPA has sustained large numbers of casualties battling demons.