Otogi Story Tenshi no Shippo
English name: Angel Tales
Genres: Comedy, Fantasy, Romance
Type: TV, Episodes: 12
Aired: Oct 4, 2001 to Dec 20, 2001
Studio: Tokyo Kids
Source: Original
Rating: PG-13 - Teens 13 or older
Synopsis:
Goro's down on his luck. He keeps losing jobs and has little money. One day he meets a fortune-teller outside of a pet store who predicts that his luck will change. That night three girls appear in his appartment claiming to be his guardian angels. Soon a total of twelve girls appear to help him, each one a reincarnation of a deceased pet once owned by Goro. 

(Source: ANN)