Here's what rhymes with auxillary.
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belly allele jelly deli telly smelly vermicelli underbelly ready rarely levy levee leggy recce many heavy fairly barely semi lengthy petty penny fleshy heady messy jetty teddy bevy fidgety breathy dressy faery jenny thready kepi lefty sedgy veggie already healthy steady plenty wealthy deadly freshly gentry frenzy squarely carefree medley sentry sexy sketchy sweaty vestry belfry deathly fleshly gayety hefty sullenly pebbly tempi testy trendy pesky effendi wetly twenty friendly scarcely elementary gently expressly epilepsy immensely densely antennae deftly excellency spaghetti unfairly unsteady coquetry halfpenny machete stealthy confetti hostelry sacredly tensely aplenty libretti marquetry ineptly preciously directly especially assembly correctly intensely unhealthy intently unfriendly baronetcy catalepsy maidenly adeptly woodenly indirectly incorrectly apoplexy grotesquely complexly narcolepsy cognoscenti deviancy reassembly complementary confusedly equivalently ambivalently penitently circumspectly