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.
heist hest hist hoist hast hessite host haste hasty hosta hissed hoised
feist hygieist neist deist heist hygeist vista lest test vest feast deceit beset quest resat doest cist maist joist pest pesto nest recit piste zest shist chesty wist west waist testa doughiest gaseity zooiest best pesty cesta wrist wrest resit misty visit fist east reest guest vesta geste foist cesti fest least gist hoist hist kist cuesta list geest mist hest beast jest zesty besot reset rest wriest wristy gooiest gest moist siesta feisty fiesta testy weest whist chest shiest yeast
hes his haes hehs hews hies hiss hissy hoes hoise hues ahis khis