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