Mysteries rhymes with:
histories, history's, histories, history's, arteries, batteries, directories, documentaries, eateries, factories, factory's, histories, history's, lotteries, refractories, victories
Mysteries sounds like:
master's, masters, masters', masterwork, masterworks, mastrich, mastrich's, mcdaris, mckitrick, mckittrick, mcwaters, mcwatters, megastores, meisters, mesothorax, minister's, ministers, ministers', ministries, ministry's, minstar's, misters, mistress, mistresses, mixtures, monasteries, monsters, monstrous, moonstruck, mostar's, musketeers, musters, mysterious