Homeric rhymes with:
alphanumeric, merrick, numeric, tumeric, alphanumeric, atmospheric, burek, burich, carrick, cleric, derek, derick, derik, derrick, deryck, ehrich, eric, erich, erick, erik, esoteric, ferrick, garrick, generic, gerich, gericke, gerrick, herrick, hysteric, ionospheric, kerrick, merrick, mesenteric, numeric, sherick, sherrick, tumeric, varick, weyrich
Homeric sounds like:
hammer's, hammers, hamric, hamrick, hamrock, hanners, heinrich, heinrichs, hemmerich, hemorrhage, hemorrhagic, hemric, hemrick, henrich, henrichs, henrick, henricks, henrik, henrika, henrique, henriques, henriquez, henry's, hinners, hinrichs, homeowner's, homeowners, homeowners', homer's, homers, homework, homrich, honeymooners, honor's, honorees, honors, humerous, humerus, humorous