If you're looking for manga similar to Rinjin-chan ga Shinpai, you might like these titles.
A small god, Mamefuku, sends good fortune to those who are virtuous. In the first story, Mamefuku appears to a girl who has broken a vase of flowers that her mother cherishes.
Keiichi Morisato and Belldandy lived in happiness, but due to the recession, the motorcycle shop Keiichi works at faces financial difficulties. Belldandy starts to search for a job because of the situation.
The daily lives of supernatural creatures - a former goddess, vampire, werewolf, succubus, etc - as they navigate parenthood. What happens post "happily ever after" with a focus on motherhood, in the age of social media.
Toto is a newcomer god and has taken up post on the peaceful "Isle Island", a mysterious floating island in the sky.