Here's what rhymes with assimable.
double bubble rubble publ vincible trouble stubble friable redouble playable vocable flyable beatable tamable addable conformable damnable dirigible attachable unnameable unplayable acquirable nonviable filtrable containable ignitable unlikable dividable unloveable uncharitable unbridgeable compoundable imperishable imperturbable indissoluble exploitable translatable unarguable transmutable untranslatable indemonstrable Words that almost rhyme with assimable
muddle couple subtle shuttle puddle suppl supple huddle tuple cuddle cudgel rappel fuddle scuttle decouple uncouple rebuttal thermocouple befuddle oversubtle muscle muzzle knuckle muffle mussel mumble nuzzle humble tunnel puzzle bustle funnel shovel tumble buckle chuckle jumble rumble rustle shuffle tional hovel hustle ruffle smuggle subtile fumble juggle suckle tussle bumble caecal runnel snaffle snuggle guzzle pummel duckbill gunnel snuffle tamale tousle gumball tubful mugful struggle bundle jungle fungal crumble ductile nuptial stumble ductal grumble scuffle phrasal pustule reshuffle truffle bungle truckle lungful rumple unbuckle jugful tumbrel pinocle frontal autumnal colourful crustal honeysuckle lustful crumple prenuptial trundle nonvocal kerfuffle cupsful triumphal bestowal conformal peduncle trustful prefrontal antifungal suboptimal carbuncle duodecimal granduncle heptagonal disgruntle subcortical distrustful mistrustful