I've taken a list of English words, and examined each of them to see what they sound like (using the PHP metaphone function). This page lists the most common metaphone codes, along with their words. You can also search for a word of your own, and see which words sound similar - and which ones rhyme, and which ones alliterate.
chats cheats chads chits chateaus shoats chutes chotts shiatsu chetahs chitties chuddahs cheetahs shads shots shuts shits chides shades sheets shoots shotes shotts shouts shutes shadows shiatzu shittahs
ghats chats hats whats patsy aits cats jatos ates mats batts baits bahts gates shits hots cheats beats neats rates bates wats vats beauts phots gnats shots shads heights mauts chads whets pates fates kats tats doats boats cates dauts bats teats satis lats rats meatus coats goats dates riatas katas fats gaits sates hates ratos fatso whits chits huts phuts coatis hits oats feats hiatus wheats heats seats haets eats shoats hets datos pats nates gats moats reatas mates matts fiats vatus dawts shiatsu meats tates tauts qats waits watts peats ghauts shuts
chat chatty chateau chott hatchet hatched echt shat chute chit chitty chetah cheat chaetae chaeta chad chitchat