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.
shanny shinny shinney shiny shawn sheeny sheeney shun shin shanghai sheen shone shine chain shewn shown shoon chaine choana choanae sheenie
fanny canny shanny nanny any whinny panne hinny ginny jenny johnny goanna bunny gunny anna wany fawny pinny rainy sonny zany tawny tunny shinney funny awny finny runny benny many annoy minny canna bonny penny ninny lawny manna punny meany sunny tannoy tinny waney wenny guanay fenny shinny
sha shah shaugh shaw shay shea pshaw