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.
shutter shouter shatter shittier sheeter chitter chatter shooter shudder shuddery chattier chattery shader cheater shedder shadier chudder shoddier shoetree cheder chider cheddar chowder chuddar
butter gutter putter shutter cutter nutter mutter utter reutter jettier tottery pottier knitter nittier nattier couter battery bitter knotter muter cautery potter guttier uteri mattery quitter knottier toter goutier cattery neuter fetter batter vetter tatter latter shittier chitter chattery wittier whetter watter hitter titer tauter dottier battier suiter ruttier sitter pottery outer guttery patter otter littery fitter ratter natter fatter getter buttery rotter ritter letter cuter setter pettier cotter nuttier pouter petter phatter jittery puttier jitter rattier better cottier hatter hauteur cattier netter shouter quoter dotter lottery hotter litter nettier gnattier jotter bittier lotter router fattier poutier matter tater shatter tattier tetter titter totter touter auteur wetter whitter chatter chattier souter yatter
shut shittah shitty shott shout shute