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