Eames rhymes with:
basim's, beam's, beams, creams, deems, dreams, esteem's, extremes, gleams, hakeem's, hakim's, hiems, kareem's, nemes, pezim's, racemes, reames, reams, redeems, regime's, regimes, reims, schemes, screams, seams, seems, siems, steams, streams, supremes, team's, teams, teams', teems, themes, weems
Eames sounds like:
eanes, ehmke, einon's, emcee, emch, emco, emens, emge, emick, emig, emigh, eminase, eminence, eminences, emmaus, emmick, emmis, emmons, emmy's, emmys, enasa, encase, enciso, enck, enemas, enemies, enemies', enemy's, enex, eng, engage, engages, enge, engh, enhance, enhances, eniac, enis, enix, enjoy, enjoys, enke, enmesh, enmeshes, ennes, ennis, ennosuke, enns, enoch, enochs, enos, enough, enough's, enqueso, ensco, ensco's, enseco, ensey, ensue, ensues, ensz, enz, enzo, eons, eunice, eunuch, ewing, ewing's, ewings, ewong, eyeing