Obsesses rhymes with:
assesses, excesses, addresses, assesses, blesses, caresses, coalesces, confesses, digresses, distresses, esses, excesses, express's, hesse's, impresses, messes, oppresses, press's, professes, s's, s.'s, suppresses, tresses, yeses
Obsesses sounds like:
obese, obeys, obsequious, obsess, obuchowski, obvious, ofc, off's, office, office's, offices, officio, offs, ohbayashi, oops, op's, opaque, opax, opec, opec's, opic, opic's, oppose, opposes, ops, opus, ovex