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