Agonies rhymes with:
aborigines, accompanies, albany's, anthony's, aristophanes, balconies, colonies, colony's, companies, companies', company's, destinies, felonies, germany's, germanys, harmonies, ironies, litanies, mutinies, peonies, stefani's, symphonies, symphony's, tiffany's, tyrannies
Agonies sounds like:
accessing, accusing, acheson's, achesons, aching, acme's, acquiescence, acquiescing, agamemnon's, agans, agence, agencies, agencies', agency, agency's, aging, agins, agnes, agnico, agnos, agnosio, agonize, agonizes, aguanga, aguinaga, aikens, aikins, akens, akins, aquinas, aquino's, ascencio, asencio, ashkenazi, ashkenazis, asians, askance, askin's, asking, askins, asmus, assassin's, assassins, assessing, assigning, assigns, assumes, assuming, ausmus, awakening, awakens, axioms, axons, azcuenaga