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