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