Nissim rhymes with:
exim, maxxim, wasem, acronym, ahlgrim, anglim, antrim, beachem, chaim, dahlem, dershem, eidem, exim, fillingim, ganem, ganim, gillem, goyim, hapoalim, hashem, hashim, hasidim, hatem, homonym, jachim, joachim, jochem, jochim, ketchem, knierim, laflamme, lathem, leathem, lockrem, maxxim, mechem, mellem, meriam, mitchem, naim, norem, odem, orem, ostrem, parkinsonism, salemme, salim, sephardim, solem, tatem, wasem, withem, yochim
Nissim sounds like:
nachman, nachmany, nagano, nagin, nakajima, nakama, nakano, nakashima, nakasone, nakayama, naquin, nashnamie, nason, nauseam, nazism, neeson, neisen, nesheim, nessen, neukam, neukom, new-mexican, 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, nissin, nixon, nizhny, noxema, noxon, nugan, nujoma, nukem, nusen, nuzum, nycum