Apologies rhymes with:
anthologies, biology's, biotechnologies, biotechnology's, chronologies, doxologies, electrobiology's, etiologies, ideologies, methodologies, otologies, pathologies, polytechnologies, technologies, technologies', technology's
Apologies sounds like:
abalos, abeles, abels, abiola's, ablaze, ables, abolish, abolishes, abuellah's, affleck, afflik, afula's, apelike, apollo's, apologize, apologizes, apology, apoplexy, appalachia, appalls, appeals, applause, apple's, apples, applesauce, applies, avalos, aviles, avilez