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