Here's what rhymes with unipapillary.
                        
                        
                    
                                very  vary  marry  fairy  merry  bury  dairy  ferry  prairie  wary  cherry  hairy  berry  papillary  sherry  tarry  parry  harry  nary  tare  barre  terry  faerie  wherry  capillary  dietary  scary  ternary  canary  epistolary  remarry  unwary  bacillary  pessary  apiary  bilberry  literary  ordinary  arbitrary  imaginary  stationary  urinary  adversary  pituitary  ancillary  budgetary  corollary  honorary  emissary  stationery  tutelary  aviary  beriberi  buffoonery  legionary  actuary  equerry  humeri  lapidary  elderberry  topiary  nondairy  plagiary  necessary  military  temporary  customary  missionary  monetary  pulmonary  coronary  dictionary  hereditary  solitary  cemetery  judiciary  legendary  maxillary  tributary  unitary  visionary  dysentery  estuary  mercenary  planetary  sedentary  seminary  veterinary  apothecary  commissary  funerary  itinerary  mortuary  obituary  statuary  cautionary  centenary  dignitary  luminary  breviary  cassowary  dromedary  huckleberry  chokecherry  sectary  secondary  secretary  commentary  monastery  vocabulary  disciplinary  momentary  pecuniary  proprietary  sanitary  inflationary  salutary  culinary  fiduciary  sanguinary  savagery  deflationary  probationary  constabulary  diversionary  insanitary  voluptuary  nonliterary  tercentenary  uncustomary  extraordinary  preliminary  unnecessary  evolutionary  sanctuary  subsidiary  beneficiary  involuntary  reactionary  functionary  expansionary  expeditionary  genitourinary  interplanetary  paramilitary  supernumerary  unsanitary  nonmilitary  geostationary  recessionary  bicentenary  nonhereditary  contemporary  revolutionary  fragmentary  discretionary  interdisciplinary  exclusionary  confectionery  undersecretary  concessionary  eleemosynary  elocutionary  multidisciplinary  cardiopulmonary  counterrevolutionary  Words that almost rhyme with unipapillary
allele  belly  jelly  deli  telly  smelly  underbelly  vermicelli  ready  rarely  levy  levee  leggy  recce  many  heavy  fairly  barely  semi  lengthy  petty  penny  fleshy  heady  messy  jetty  teddy  bevy  breathy  dressy  faery  jenny  thready  kepi  lefty  sedgy  veggie  already  healthy  steady  plenty  wealthy  deadly  epilepsy  freshly  gentry  frenzy  antennae  carefree  medley  sentry  sexy  sketchy  spaghetti  sweaty  unfairly  vestry  belfry  deathly  fleshly  gayety  hefty  machete  sullenly  pebbly  tempi  testy  trendy  aplenty  libretti  marquetry  pesky  wetly  directly  especially  twenty  assembly  friendly  scarcely  gently  unhealthy  densely  squarely  apoplexy  deftly  unsteady  coquetry  stealthy  confetti  fidgety  tensely  adeptly  effendi  preciously  correctly  elementary  immensely  unfriendly  excellency  halfpenny  hostelry  sacredly  baronetcy  catalepsy  deviancy  maidenly  ineptly  woodenly  indirectly  expressly  intensely  intently  grotesquely  complexly  narcolepsy  reassembly  complementary  incorrectly  confusedly  equivalently  ambivalently  penitently  cognoscenti  circumspectly