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