Agonize rhymes with:
antagonize, antagonize, disorganize, organize, reorganize, africanize, aluminize, americanize, antagonize, balkanize, canonize, carbonize, christianize, colonize, communize, demonize, disorganize, euthanize, galvanize, harmonize, hellenize, homogenize, humanize, ionize, lionize, mechanize, organize, patronize, reorganize, revolutionize, scrutinize, suburbanize, synchronize, unionize, urbanize, womanize
Agonize 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, agonies, 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