Addict rhymes with:
contradict, contradict, predict, afflict, clicked, constrict, contradict, depict, evict, handpicked, inflict, kicked, licht, licked, nicked, picht, picked, predict, pricked, restrict, schlicht, schlict, slicked, sticht, strict, ticked, tricked
Addict sounds like:
addicted, adduct, addwest, adequate, adjust, adjusted, adsit, atheist, attached, attacked, attest, attested, audacity