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.
cheeros cheerios cheers sheers chiros churros charros chars cherries chorus shoers chares chirrs charrs churrs chairs charas chores choirs shears chirus shiers sherris choreas chorizo chirres sherries shris shares shires shirrs shores shrews sharias
cheeros eros cheers deers leers cheerios zeros serows serosa cerous ceros rerose peers queers zeroes queuers jeers heros heroes veers euros erose seers serous beers sheers ers
cheer cheerio cheero cheery cherry sheer ocher ochery