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