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.
cheater chatter chattery chattier cheder cheddar sheeter chitter shatter cheddary chadri shader chider chadar chador chowder chuddar chudder shadier shedder shooter shouter shutter shittier shoetree shudder
eater seater feater beater heater neater cheater header better cater hetero letter kneader oater netter getter meteor water meeter latter metier baiter eatery meter natter sheeter peter pewter ratter hater fatter patter gaiter boater vetoer phatter vetter leader meatier fetter dater coater quieter matter tater chatter beader deter matier tauter tuatera hatter mater gater watery tetter later waiter setter whetter wetter wheatear teeter tatter dieter deader reader watter rater petter batter pater peatier neuter shatter yatter
cheat chat chaeta chaetae chateau chatty cheetah chetah