Here's what rhymes with epimeletai.
by die buy tie bi bye dye pi pie thai dei ty tai my high why apply dry lie thy try y guy vi hi shy sigh chi fi hy nigh spy thigh vie ly ply psi quae rye wir alibi awry hai lye mai muy nai pry tri trie wry cy fy kai lai luy mei pri sy thei untie wai phi sty amebae stye lanai supply cry fly reply sky deny nearby occupy rely defy fry sly underlie nullify belie lullaby pupae amoebae mollify aquae retry spry turfy ripply overbuy slier yuppify thereby imply justify stimuli whereby comply hereby modify multiply alkali verify goodbye notify purify amplify ratify unify decry terrify edify overlie ramify resupply bonsai deify ossify triply horrify misapply petrify mummify banzais dandify identify clarify nuclei qualify classify simplify testify butterfly certify glorify gratify alveoli magnify pacify rectify standby beautify falsify termini typify codify crucify descry dignify liquefy mortify personify vilify acidify firefly mystify preoccupy stultify ultrahigh blowfly calcify emulsify reunify stupefy liquify overfly scarify scurfy versify barfly prettify shanghai vitrify beatify drachmai gentrify syllabify satisfy specify signify intensify diversify fortify samurai indemnify solidify oversupply demystify stratify vivify cumuli declassify refortify speechify solemnify exemplify quantify disqualify objectify detoxify dragonfly electrify revivify dissatisfy hyperbolae transmogrify oversimplify reclassify misidentify