Oedipus rhymes with:
all-purpose, bippus, bumpus, campus, chapas, chiapas, compas, compass, coppess, copus, corpus, encompass, eohippus, gyrocompass, hippocampus, hospice, kappus, lapis, lupus, malpass, manglapus, molpus, molpus', mopus, multipurpose, negropalpus, olympus, opus, pappas, pompous, porpoise, prapas, precipice, purpose, tapas
Oedipus sounds like:
outback, outfox, outfoxes, outpace, outpaces, outpouch