Generic rhymes with:
alphanumeric, atmospheric, burek, burich, carrick, cleric, derek, derick, derik, derrick, deryck, ehrich, eric, erich, erick, erik, esoteric, ferrick, garrick, gerich, gericke, gerrick, herrick, homeric, hysteric, ionospheric, kerrick, merrick, mesenteric, numeric, sherick, sherrick, tumeric, varick, weyrich
Generic sounds like:
gainers, gamers, genereux, generics, generous, genres, genrich, giammarco, guimaraes, guinarou's, guinier's, gunners