Kamichama Karin

Orphan Hanazono Karin is a below-average girl who just lost another person dear to her; her best friend and loyal cat, Shi-chan. While visiting Shi-chan's grave, she meets Kujyou Kazune, a smart pretty boy who insults her right after meeting her. She runs away from him, hoping to never see his face again, but fate seems to have other ideas -- the girl she bumps into the very next day is none other than Himeka, Kazune's cousin. During her second meeting with Kazune, something strange happens to her ring, the last thing she has to remember her mother by. Afterwards, strange events happen all day around her, with no explaination. The fourth meeting with Kazune explains quite a bit; her ring has the power to turn her into a goddess. With Himeka's support and Kazune's guidance, Karin begins her training to become one of the divine. -From MangaFox

Kamichama Karin is a series about a girl who gains the power to become a god with her late parent's ring.  The story is a little stupid and the plot develops slowly @ first but I think that the characters are endearing.  Some find the art in this series to be annoying but I really like it.  Just my style. :)  In addition, I am a major greek mythology geek so the theme of it was an added bonus.  I have read Kamichama Karin and it's sequel multiple times but take it with a grain of salt.  Find it @ http://www.mangafox.com/manga/kamichama_karin/