unsectarian -
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
sectarian belonging to or characteristic of a sect; "a sectarian mind"; "the negations of sectarian ideology"- Sidney Hook; "sectarian squabbles in psychology"
ecumenic,
oecumenic,
ecumenical,
oecumenical concerned with promoting unity among churches or religions; "ecumenical thinking"; "ecumenical activities"; "the ecumenical movement"
interchurch,
interdenominational occurring between or among or common to different churches or denominations; "interchurch aid"; "interdenominational cooperation between Methodists and Presbyterians"
nondenominational not restricted to a particular religious denomination; "a nondenominational church"
