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