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