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