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.
sheeny sheeney sheen sheenie shewn shiny shanny shinny shinney shin shun shawn shine shone shoon shown shanghai
teeny weeny sheeny wenny queen sheeney wheen meiny veena veiny jenny keen benny fenny meany sheen penny peony seen deny teen ween peen been
sheesh she shea sheugh shew shoe sheuch