Ameche rhymes with:
aichi, beachy, beechy, chichi, chinnici, daiichi, dominici, eiichi, federici, ichi, keiichi, kenichi, kiichi, koichi, mainichi, mcgeachy, milici, morici, nietzsche, peachey, peachy, preachy, quilici, ricci, shinichi, shoichi, tatsukichi, teachey, tomiichi, tortorici, yamaichi, yoichi
Ameche sounds like:
aeneas, ahmeek, aim's, aiming, aims, ainge, am's, amasa, amass, amasses, amax, amax's, amaze, amazes, amc, amca, amenaces, ames, ames', ames's, amex, amex's, amexco, amexco's, amezcua, amick, amico, amicus, amiga, amigo, amigos, amis, amish, amiss, ammons, amnesia, amnesiac, amoco, amoco's, amok, among, amos, amos's, amoskeag, amoskeag's, amoss, ams, amsco, amuck, amuse, amuses, amy's, amyx, anac, anas, anasazi, ancho, anemias, anemic, ang, ange, angi, angie, angio, anguish, angus, angy, aniak, animous, animus, anise, anja, ankh, ann's, anna's, annamese, annas, anne's, annese, annex, annexes, annick, annie's, annis, announce, announces, annoyance, annoyances, annoying, annoys, annunzio, anonymous, ansa, ansa's, anse, anus, anxious, anyone's, anyways, anza, anzio, anzus, aoun's, aung, auyeung, awning, aynes