Homiletic rhymes with:
athletic, acetic, aesthetic, alphabetic, anesthetic, apathetic, apologetic, arithmetic, ascetic, athletic, bionetic, cosmetic, diabetic, diamagnetic, dietetic, diuretic, electromagnetic, emetic, empathetic, energetic, epigenetic, esthetic, ferromagnetic, frenetic, genetic, geomagnetic, helionetic, hettick, hyperkinetic, intermagnetic, kinesthetic, kinetic, magnetic, paramagnetic, parasympathetic, parthenogenetic, pathetic, peripatetic, pharmakinetic, phonetic, poetic, prophetic, prosthetic, sympathetic, synergetic, synthetic, unapologetic, unsympathetic
Homiletic sounds like:
hamlets, hemolytic, humiliates