Minister's rhymes with:
administers, ministers', administers, ministers', administers, cannisters, ministers', administers, barristers, cannisters, ministers', register's
Minister's sounds like:
master's, masters, masters', masterwork, masterworks, mastrich, mastrich's, mcdaris, mckitrick, mckittrick, mcwaters, mcwatters, megastores, meisters, mesothorax, ministers, ministers', ministries, ministry's, minstar's, misters, mistress, mistresses, mixtures, monasteries, monsters, monstrous, moonstruck, mostar's, musketeers, musters, mysteries, mysterious