Just as announce in the last episode of Kami Nomi zo Shiru Sekai (The World God Only Knows) or kaminomi in short, the second season is coming sooner than we thought. It was listed under Spring release (Apr-June) along with other great anime that will be coming out in the same season.
The first season of kaminomi covers 4 first girl, Ayumi, Mio, Kanon and Shiori (Elsea arc was included too). For the second season it will cover 4 more girls, Haqua, Chihiro, Nagase, and Kusunoki. (correct me if I'm wrong. I'm not referring anything when I'm writing this). They still keep the seiyuu for Keima, Elsea and some characters that show up in first season and for Ayumi fans don't be suprise if she show up in the second season too (as backup character of course) and lots of new interesting event.
If you looking forward for it, might as well wait for it a little longer. Sorry I don't have any information about third season for kaminomi but hoping that it will. For Kanon's fan, you might want to get your hands on her first album, Birth which contain the previous song she sang in first season and additional new song compile together to make up 10 SONGS from her. More info in the official website http://kaminomi.jp/