Fagin rhymes with:
kagin, nagin, beghin, burgin, coggin, duggin, feigin, flanagin, goggin, googin, hangin', holguin, jungin, kagin, koryagin, kosygin, mangin, melugin, mungin, muskegon, nagin, olguin, riggin, rogin, scoggin, scogin, scroggin, singin', wergin, wiggin, zalygin
Fagin sounds like:
facchini, faciane, fagan, fagen, faison, fasano, fasciano, fascism, fashion, fason, fasone, faughn, faughnan, faxon, fazzino, feagan, feagin, fegan, feigen, feighan, feigin, feign, ficken, ficom, figone, fijian, fischman, fishkin, fishman, fission, fossen, fossum, foxman, fujian, fujiyama, fukushima, fukuyama, fusion, fuson