The fox spirit Kokkuri-san is summoned by elementary school girl Kohina Ichimatsu, and decides to haunt/live with her as a kind of caretaker. He is soon joined by other spirits. The series follow the antics of this rather uncommon family.
From Wikipedia:
Gugure! Kokkuri-san (Japanese: 繰繰れ! コックリさん) is a Japanese manga series by Midori Endō, serialized in Square Enix's Gangan Joker since 2011. It has been collected in seven tankōbon volumes as of October 2014. An anime television series adaptation by TMS Entertainment aired in Japan between October and December 2014.
Kohina Ichimatsu is an expressionless elementary school girl who lives alone, proclaims herself to be a doll, and eats nothing but instant noodles. One day, she plays the Kokkuri game by herself and summons the fox spirit Kokkuri-san who, upon seeing her unhealthy lifestyle, takes it upon himself to become her guardian and raise her properly. Thus starts Kohina's new life of being haunted by various unique spirits.
