Quasi rhymes with:
abbasi, anastasi, basi, benassi, biasi, byassee, cacaci, cortopassi, cossey, debiase, degrasse, delrossi, demasi, dibiase, diblasi, dimasi, distasi, dosie, dossey, eminase, fossey, galassi, gerbasi, gervasi, lacasse, lagasse, lambiase, losey, masi, mosie, mossey, nastasi, posse, stasi, terrasi, tomasi, tomassi, umlasi
Quasi sounds like:
q, q's, q., q.'s, q.s, qawi, qi, qiao, qu, qua, quach, quack, quacks, quai, quake, quake's, quakes, quash, quassia, quay, quaye, que, queasy, queau, quechee, quek, ques, queue, queues, qui, quiche, quick, quickie, quigg, quik, quiz, quizzes, quo