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.
sheenier shinier shiner shanghaier shunner shinnery
denier teenier weenier sheenier veneer punnier sunnier loonier fawnier fennier goonier funnier finnier veiner phonier seiner meaner leaner veinier tawnier pannier bonnier bonier tinier tonier weiner whinier wiener runnier pinier lunier keener whinnier weaner wennier rainier senior linier ginnier genera cannier venire teener venery scenery winier moonier punier zanier penner downier panier tenner tinnier wanier meuniere vinier shinier
sheen sheeney sheenie sheeny shewn ashen