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.
shuts shutes shouts shots shits chutes shoats sheets shoots shotes shotts shiatsu shittahs sheds chats chits shads cheats chotts shades shadows shiatzu chuddahs shoddies
huts phuts shuts uts putts autos hits hots ghats phots juts cutis gouts gutsy muts mauts routs knouts shits pouts suits duets tauts tuts utas louts hats ghauts whets chats chutes shots shutes sautes hets nutsy shouts whits butes nuts heights mutts bouts beauts bahts jutes butts cutes cuts chits quits whats buts mutes outs puts routes ruts suets dauts duits touts tutus utes guts lutes
shute shut chute shat shit shittah shitty shot shote shott shout hutched schuit shushed