Here's what rhymes with transpapillary.
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 stationary scary stationery ternary canary remarry unwary bacillary pessary apiary bilberry literary ordinary arbitrary hereditary urinary adversary pituitary ancillary budgetary corollary honorary emissary statuary centenary epistolary tutelary aviary beriberi buffoonery legionary actuary equerry humeri lapidary elderberry topiary nondairy plagiary necessary military secretary temporary customary missionary monetary pulmonary coronary dictionary imaginary solitary vocabulary cemetery judiciary legendary maxillary tributary unitary visionary dysentery estuary inflationary mercenary planetary salutary sedentary seminary veterinary apothecary commissary funerary itinerary mortuary obituary cautionary dignitary luminary breviary constabulary cassowary dromedary huckleberry chokecherry sectary secondary commentary monastery sanctuary subsidiary disciplinary momentary pecuniary proprietary sanitary culinary fiduciary functionary sanguinary savagery deflationary probationary unsanitary diversionary insanitary geostationary voluptuary nonliterary tercentenary nonhereditary uncustomary extraordinary preliminary unnecessary evolutionary beneficiary fragmentary involuntary reactionary confectionery expansionary expeditionary genitourinary paramilitary supernumerary nonmilitary concessionary recessionary bicentenary contemporary revolutionary discretionary exclusionary interplanetary undersecretary eleemosynary elocutionary interdisciplinary multidisciplinary cardiopulmonary counterrevolutionary Words that almost rhyme with transpapillary
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 ambivalently reassembly complementary incorrectly confusedly penitently equivalently cognoscenti circumspectly