Flames rhymes with:
inflames, acclaim's, acclaims, blames, claims, disclaims, exclaims, inflames, proclaims, acclaim's, acclaims, adames, aim's, aims, ames, ames', blames, claims, crames, dame's, dames, disclaims, exclaims, frames, game's, games, games', grames, haimes, hames, haymes, inflames, james, james', jas, maims, name's, names, proclaims, rhames, same's, sames, shames, st-james, st_james, tames
Flames sounds like:
failing, failings, falanga, falling, feeling, feelings, fehling, felines, fellenz, felling, felonies, felonious, felons, filene's, filing, filings, filinski, filling, fillings, film's, filming, films, flailing, flamenco, flaming, flamingo, flamingos, flammang, flange, flanges, flank, flanks, fleeing, fleming, fleming's, flemings, flemish, flemming, flemons, flewelling, flimsy, flinch, fling, flings, flink, flounce, flounces, flowing, fluency, flumes, flummox, flung, flunk, flunks, flying, foaling, foiling, following, followings, fooling, fouling, foulness, fueling, fuelling, fullness