That's what the Unitarian church is supposed to be, I think. I attended a few of their services out of curiosity, and they were similar to church services except there was no mention of religion. Instead of hymns there was classical and folk music, instead of bible readings there were readings from secular literature (Thoreau seemed to be a favorite), and so on. There was a lot of talk about self-improvement, doing volunteer work, etc.
Unitarian-Universalism is a big tent which includes both a (heterodox, from the perspective of mainstream Christianity, which is Trinitarian) branch of Christianity and a diverse array of non-Christian congregations.
