Here's what rhymes with extremest.
nest best rest test west chest arrest guest lest guessed jest pest vest zest wrest breast blessed dressed pressed assessed crest invest professed quest repressed unrest attest blest caressed expressed addressed possessed request depressed impressed stressed confessed oppressed progressed abreast bequest digest obsessed behest detest divest undressed suggest manifest compressed northwest suppressed distressed southwest acquiesced dispossessed Words that almost rhyme with extremest
left theft deft weft cleft refreshed bereft enmeshed next met meant net melt knelt necked get set went yet cent felt kept let sent text debt belt bent checked dealt rent wet bet jet lent sect tent lament leaped pet scent sensed vent wept wrecked fetched leapt reset vexed decked dent fenced inept pent preset smelt vet against effect direct correct event prevent spent affect helped protect threat commenced intent reject slept stepped swept assent cement connect elect erect sweat ascent crept dwelt invent repent sketched adept augment bayonet dreamt ferment flexed resent tempt duet fret infect inject orient redirect spelt transept unchecked wrenched except percent respect accept attempt perfect consent forget reflect select collect descent detect indirect neglect regret stretched accent dialect incorrect offset upset beset condensed dissent inspect cassette clenched dispensed drenched parapet perplexed quenched beget cadet clarinet deflect pipette silhouette subject extent expect represent president contempt intellect suspect architect cigarette exempt alphabet entrenched recollect underwent epithet intercept intersect outstretched circumvent disconnect quartet shipwrecked discontent retrospect circumspect disrespect