Standard prefix: "non" at the beginning of a word often means "not" or "without" as in "nonfiction" or "nonstop" or "nonfat". Accordingly, a nondenominational religious organization is one meant to represent many religious denominations.
Downtown synagogues, mosques and churches of various denominations joined to assist the homeless.
Billy Graham transcended denomination and became a spokesperson for most American Christians.
We shared a nondenominational prayer before beginning.
He stood up and said his Denomination believed in being kind to everybody; kind to animals and such.
Forest Carter -- Education of Little Tree
The chaplain came around and asked if we wanted to come to nondenominational services.
Walter Dean Myers -- Fallen Angels
There were a host of religious opportunities at Danbury: a Friday Mass for Catholics, and sometimes a Sunday Mass as well (usually delivered by the "hot priest," a young padre who played guitar and spoke Italian and was thus adored by all the Italian-Americans); a Spanish Christian service on the weekends; a Buddhist meditation group and also rabbinical visits on Wednesdays; and a wacky weekly nondenominational be-in led by volunteers armed with acoustic guitars and scented candles.
Piper Kerman -- Orange Is the New Black
This is the hospital’s idea of nondenominational.
Gayle Forman -- If I Stay
Although her clientele was nondenominational, she’d garnered a word-of-mouth reputation among temple sisterhoods, and patrons came from as far away as New York and Connecticut and even Maryland to relax and rejuvenate.