Mystics rhymes with:
ballistics, characteristics, criminalistics, heuristics, linguistics, logistics, statistics, statistics', acoustics, agnostics, ballistics, characteristics, criminalistics, diagnostics, domestics, gymnastics, heuristics, linguistics, logistics, onomastics, plastics, statistics, statistics', thermoplastics
Mystics sounds like:
m-codes, machetes, macoutes, maestas, maggots, mainstays, majestic, majesty's, makegoods, manischewitz, maoists, mascots, masochistic, massachusetts, massachusetts', massachussetts, mastoiditis, masts, mazaitis, mazda's, mcdade's, mcdyess, mckids, mcquethy's, mctague, mctighe, mctigue, megaquest's, megawatts, meningitis, mestas, mestek, mestizo, minnesota's, misdeeds, misguides, misjudge, misjudges, miskitos, misquotes, misstates, mistake, mistakes, mistic, mistook, mists, mkhatshwa, mogadishu, mogadishu's, monastic, mongosutu's, moscowitz, moskowitz, mosquitoes, mosquitos, mostek, moustache, mushtaq, mustache, mustaches, mustachio, mystic, mystique