Honto ni Atta! Reibai-Sensei

Honto ni Atta! Reibai-Sensei | Honto ni Atta! Reibai-sensei | Really Existed! Spirit Medium Teacher

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)