Here are some words that rhyme with "met":

• 1 syllable: bet, debt, fret, get, jet, let, net, pet, set, sweat, threat, vet, wet, yet
• Near rhymes: clarinet, pipette, fet, tete
• 2 syllables: inset, inlet, unmet, subset, Yvette, Annette, Boulet, Jennette, Rollet
• Perfect rhymes: set, get, let, forget, offset, yet, wet, upset, regret, net, sweat, internet, vet, pet, fret, jet, debt, silhouette, threat, beset, alphabet, sunset, cigarette, whet, asset, brunette, mindset, epithet, roulette, outlet, vignette, cassette, corvette, beget, reset, abet, onset, sobriquet, stet, sublet, pret, parapet, rosette, outset, preset, inlet, gimlet, typeset, ret, cadet, gazette, coronet, dragnet, baguette, duet, avocet, octet
• Near rhymes: said, head, bed, left, dead, red, best, step, felt, it, lead, read, instead, next, ahead, went, perfect, rest, end, edge, meant, help, chest, spread, spent, against, shed, friend, kept, scared, dressed, led, west, spend, pretend, ed, respect, test, shit, bread, fed, held, hit, send

Note that some of these words are near rhymes, which means they dont perfectly rhyme with "met" but have a similar sound.