1) Ecumenic 2) Ecumenical 3) Interchurch 4) Interdenominational 5) Nondenominational 6) Oecumenic 7) Oecumenical 8) Undenominational 9) Unsectarian 
Nonsectarian or (nonsectarianism) refers to a type of secular private educational institution or other organization either not affiliated with or not restricted to a particular religious group. Organizations that are explicitly nonsectarian include the Apex Clubs of Australia, those participating in the Ethical Culture Movement, International Soci...
[adj] - not restricted to one sect or school or party
unsectarian adjective not restricted to one sect or school or party; `religious training in a nonsectarian atmosphere`; `nonsectarian colleges`; `a wide and unsectarian interest in religion`- Bertrand Russell
not affiliated with or limited to a specific religious denomination.