New-mexican rhymes with:
cormican, flenniken, hanneken, ketchikan, litteken, melican, millican, milliken, mullican, mulliken, ratican, republican, sippican, transamerican, unamerican, vatican
New-mexican sounds like:
nachman, nachmany, nagano, nagin, nakajima, nakama, nakano, nakashima, nakasone, nakayama, naquin, nashnamie, nason, nauseam, nazism, neeson, neisen, nesheim, nessen, neukam, neukom, newcom, newcome, newingham, newsham, newsman, newsmen, newsom, newsome, newson, newsum, newswoman, newswomen, nexgen, ngema, nguyen, niacin, niccum, nicen, nickeson, nickname, nickson, nickum, nicoson, niesen, nikon, nishimo, nishiyama, niskanen, nissan, nissen, nisshin, nissim, nissin, nixon, nizhny, noxema, noxon, nugan, nujoma, nukem, nusen, nuzum, nycum