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