Achilles' rhymes with:
achilles, achilles, achilles, antilles, billy's, canilles, chile's, chili's, chilies, chilis, chillies, fillies, gillies, lilies, lilly's, phillies, phyllys, tilly's, willie's
Achilles' sounds like:
achilles, ackles, aeschelus, ageless, agilis, aisles, ashley's, ashlock, assails, axles, azaleas