Here's what rhymes with mimeisthai.
                        
                        
                    
                                by  die  buy  tie  bi  bye  dye  pi  pie  spy  thai  dei  ty  tai  sty  stye  my  high  why  dry  lie  thy  try  y  fly  sky  guy  vi  hi  shy  sigh  chi  fi  hy  nigh  thigh  vie  fry  ly  ply  psi  quae  rye  sly  wir  awry  hai  lye  mai  muy  nai  pry  tri  trie  wry  cy  fy  kai  lai  luy  mei  pri  sy  thei  wai  phi  spry  slier  apply  supply  cry  thereby  deny  nearby  hereby  defy  belie  untie  amebae  turfy  overbuy  reply  imply  rely  whereby  certify  goodbye  alibi  decry  pupae  amoebae  edify  overlie  aquae  bonsai  deify  firefly  mystify  ossify  retry  misapply  stupefy  lanai  scurfy  shanghai  ripply  banzais  justify  occupy  satisfy  comply  modify  nuclei  specify  testify  verify  notify  underlie  fortify  nullify  pacify  ratify  samurai  standby  lullaby  termini  terrify  typify  codify  descry  mollify  mortify  resupply  vilify  acidify  triply  vivify  blowfly  horrify  overfly  versify  barfly  mummify  vitrify  drachmai  speechify  yuppify  identify  stimuli  multiply  alkali  classify  signify  simplify  butterfly  gratify  purify  alveoli  amplify  diversify  magnify  rectify  unify  beautify  falsify  solidify  crucify  dignify  oversupply  ramify  demystify  stratify  stultify  ultrahigh  calcify  emulsify  petrify  revivify  scarify  hyperbolae  prettify  beatify  refortify  syllabify  dandify  clarify  qualify  glorify  intensify  quantify  indemnify  liquefy  personify  reunify  cumuli  dissatisfy  liquify  gentrify  exemplify  objectify  detoxify  dragonfly  electrify  preoccupy  reclassify  declassify  misidentify  solemnify  disqualify  oversimplify  transmogrify