Here's what rhymes with anyoae.
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 amoebae sty stye slier apply deny imply nearby rely defy belie untie edify overlie aquae deify retry spry amebae turfy lanai overbuy supply reply thereby whereby comply hereby modify nuclei signify verify goodbye notify underlie alibi nullify samurai unify decry pupae termini terrify typify codify dignify mollify ramify vilify bonsai ossify vivify blowfly horrify overfly scurfy mummify shanghai ripply banzais identify occupy stimuli clarify specify alkali simplify testify certify glorify purify alveoli amplify fortify magnify pacify ratify rectify standby falsify lullaby descry liquefy mortify resupply acidify firefly mystify triply misapply petrify reunify stupefy liquify scarify versify barfly prettify vitrify beatify drachmai gentrify speechify dandify yuppify justify satisfy multiply qualify classify butterfly gratify intensify quantify beautify indemnify solidify crucify oversupply personify ultrahigh calcify emulsify cumuli solemnify exemplify diversify objectify demystify dragonfly electrify preoccupy stratify stultify reclassify revivify hyperbolae refortify syllabify oversimplify detoxify dissatisfy declassify misidentify disqualify transmogrify