I go to a monthly pagan sing, primarily because I want to introduce those poor benighted folk to music that, while suitable for pagans, wasn't written as a pagan hymn, anthem, or chant -- or, often, wasn't written by an avowed pagan at all. My first criterion is that it be good music.

Some quick examples:

Dave Carter, "Gentle Arms of Eden" and "When I Go"

Dougie Maclean, "All Together"

Ann Lister, "Demeter's Daughter"

Leo Kretzner, "Bold Orion on the Rise"