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