Here's what rhymes with bureaucraey.
                        
                        
                    
                                re  lay  clay  gray  grey  ray  yea  ley  rei  lei  rea  roue  they  may  day  way  say  pay  play  j  array  bay  gay  k  pray  che  hay  nay  prey  weigh  tray  fay  fe  fray  slay  allay  dey  hey  sei  sleigh  whey  drei  jay  kc  payee  rj  tae  tre  wei  bey  bray  dray  flay  neigh  brae  cay  fey  shay  trey  aurae  away  stay  delay  essay  obey  okay  spray  ballet  cafe  repay  stray  sway  astray  oj  valet  cliche  fillet  ij  lamellae  ok  overlay  bj  bk  emigre  fj  replay  tj  zwei  crochet  croquet  belay  filet  splay  moray  hooray  overplay  urethrae  hurray  reweigh  spay  umbrae  aweigh  copay  today  survey  convey  decay  betray  runaway  bouquet  defray  papillae  passe  protege  cabaret  dossier  francais  gangway  puree  saute  underlay  alleyway  maxillae  parquet  risque  soiree  souffle  wordplay  caraway  inveigh  ricochet  airplay  byplay  nisei  patellae  pleurae  prepay  purvey  sachet  sorbet  toupee  noway  overpay  overstay  sickbay  briquet  caesurae  layaway  outplay  uvulae  respray  display  anyway  everyday  holiday  dismay  formulae  halfway  interplay  portray  underway  vertebrae  attache  disarray  faraway  sequelae  waterway  microarray  naturae  nebulae  breakaway  getaway  lingerie  sobriquet  workaday  carriageway  fibulae  giveaway  throwaway  resurvey  soubriquet  stingray  stowaway  underplay  flyaway  macrame  roundelay  medullae  outstay  underpay  bobsleigh  copulae  foldaway  misplay  tearaway  yesterday  disobey  naivete  passageway  matinee  societe  toothache  trabeculae  fistulae  scapulae  straightaway  cabriolet  castaway  hideaway  salmonellae  takeaway  cybercafe  penumbrae  walkaway  tarantulae  communique  companionway  caravanserais