Anglim rhymes with:
dahlem, gillem, hapoalim, laflamme, mellem, salemme, salim, solem, acronym, ahlgrim, 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, nissim, norem, odem, orem, ostrem, parkinsonism, salemme, salim, sephardim, solem, tatem, wasem, withem, yochim
Anglim sounds like:
amoxicillin, angeleno, angelina, angeline, angelini, angelino, angelone, angeloni, anglen, anglin, angolan, anklam, anselm, anselma, anselmi, anselmo, anzalone, anzelmo