Ministry's rhymes with:
industries, industries', industry's, tapestries, industries, industries', industry's, ministries, pastries, registries, tapestries
Ministry's sounds like:
master's, masters, masters', masterwork, masterworks, mastrich, mastrich's, mcdaris, mckitrick, mckittrick, mcwaters, mcwatters, megastores, meisters, mesothorax, minister's, ministers, ministers', ministries, minstar's, misters, mistress, mistresses, mixtures, monasteries, monsters, monstrous, moonstruck, mostar's, musketeers, musters, mysteries, mysterious