Nonliturgical rhymes with:
liturgical, liturgical, liturgical, liturgical, metallurgical, nonsurgical, surgical, archaeological, archeological, astrological, biological, biotechnological, chronological, dermatological, ecological, epidemiological, eschatological, geological, gynecological, ideological, illogical, immunological, liturgical, logical, magical, metallurgical, meteorological, methodological, morphological, mythological, neurological, nonsurgical, ontological, ornithological, pathological, pedagogical, pharmacological, phonological, physiological, psychological, radiological, serological, sociological, strategical, surgical, technological, teleological, theological, topological, toxicological, virological, zoological