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