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