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.
shame sham shawm shammy shamoy cham shim shmo chime chyme chammy shimmy chum
shame hame ham amie home heme heaume haem fame name mamey ramie same tame wham jambe cham came cameo game gamey kame lame mamie ramee rhyme dame wame whamo chime sham gambe chyme shawm
sha shah shaugh shaw shay shea pshaw