Here's what rhymes with improvemei.
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 pupae untie spry amebae blowfly lanai shanghai drachmai apply supply reply thereby imply nearby rely hereby defy samurai unify beautify belie termini amoebae crucify overlie aquae bonsai ossify retry triply turfy scurfy barfly ripply banzais overbuy whereby comply modify nuclei alkali classify signify simplify verify butterfly certify goodbye intensify notify purify underlie alibi amplify nullify pacify ratify standby decry lullaby terrify typify descry edify mollify mortify ramify resupply vilify deify firefly vivify emulsify horrify reunify stupefy overfly versify mummify prettify yuppify justify occupy satisfy stimuli clarify multiply specify testify glorify gratify alveoli diversify fortify magnify rectify falsify indemnify codify dignify liquefy personify acidify dragonfly mystify stratify stultify ultrahigh calcify misapply petrify revivify cumuli liquify scarify declassify vitrify beatify gentrify refortify speechify dandify identify qualify exemplify quantify solidify oversupply demystify detoxify electrify preoccupy reclassify dissatisfy hyperbolae syllabify solemnify objectify oversimplify transmogrify disqualify misidentify