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