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