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.
shinny shinney shiny shanny shin shine sheeny sheeney shun chin shawn shoon chino chain shewn china shone sheen shown chine chaine sheenie shanghai
hinny whinny minny pinny shinny finny ginny ninny tinny inn fenny pinna canny punny penny bunny runny tannoy bonny viny nanny johnny sonny tiny winey shanny jinn sunny meiny winy funny annoy wenny veiny linn jenny jinni liney gunny shinney whiney rainy piney piny liny fanny whiny tunny benny shiny