Continuation of the first season.

Nube is a clumsy, easygoing, and very kind teacher, but he has a secret under his glove on the left hand. He has a monster hand, and he also has the ability to sense ghosts and evil spirits. So he protects his dear students from these evil spirits with his monster hand, proving to be very powerful. (Source: ANN)

The story revolves around Kibayashi, a teacher whose hobby is speaking with the dead and whose special talent is exorcism. She seems to know everything about the other world, yet nothing about our own. (Source: AniDB)

Ever since he was a child, Tomoki Sakurai has always woke up with tears after a dream of an angel. His childhood friend Sohara Mitsuki worries about this and decides to seek the help of Eishirou Sugata, an eccentric sky maniac. He concludes that Tomoki's dream is undoubtedly connected to what is known as the New World, a floating anomaly that scientists have failed to understand. Recruiting the New World Discovery Club's first members, Eishirou schedules a time to meet up in order to observe the mystery in the sky. That day, Tomoki's peaceful life is changed forever when a strange girl falls from the sky and begins to call him master. Sora no Otoshimono follows the daily activities of the New World Discovery Club as they begin to learn more about the Angeloids that have arrived on Earth. [Written by MAL Rewrite]