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