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