Epic rhymes with:
leppek, sepik, capek, chapek, daubenspeck, doverspike, endoscopic, filipek, geotropic, gyroscopic, isotopic, knapik, kopec, kupek, laparoscopic, leppek, microscopic, monocarpic, myopic, nitpick, olympic, opic, paralympic, perpich, phenotypic, philanthropic, philippic, polycarpic, polytropic, popek, popick, popik, salopek, scopic, sepik, slupic, telescopic, topic, tropic
Epic sounds like:
eaves, ebasco, ebaugh, ebbs, efface, efficacious, efficacy, effigy, eohippus, epes, epic's, epics, epoch, epochs, epoxy, eppes, eppich, epps, epsco, eva's, evacuee, evacuees, eves, evoke, evokes, eyepiece