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.
shier sheer shoer shear shirr shire sherry shri shore choir cheer shrew chiru chirr chiro share chair cheery cherry chirre sharia cheero cheerio shariah char
shier doughier her shirr hero chiro chair whir tier sieur hoer zooier wrier pier lier kier gooier chiru bier fiery heir shire shear here sheer choir cheer chirr where hire vier hair hear whirr shoer
she shea sheugh shew shoe sheesh sheuch