Esper Mami(1987)

Esper Mami

Sakura Mami had been a normal junior high school student, but she happened to acquire supernatural power. With her power and the help of Mr. Takahata who was the best friend of her, she would solve mysterious incidents. When she felt someone wanted help, she used the "Teleportation Gun" to teleport to the place. Then she would save the people in trouble using her supernatural powers, such as telekinesis and telepathy.

(Source: AnimeNfo)