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.
whins whines wins winos wains wines whens whinnies winoes whenas wheens wens wans winnows wienies wons wince wanes weens weans winze weensy whence wincey waeness wanness weenies woeness
hins whins shins chins ins joins peins foins pions kins phons kines rains jins vinas ains wines wins chines chains kains hyphens veins pinas vines vinos coins mains pains dinghies shuns shines zins foehns linos whines wains sins tines dins scions minis lions gins rins pins sines minas nines lines cions quoins ruins miens rinse hens fins inns linns bins kinas pians kinos finis huns liens koines fines quinsy ions gains pines cains finos jinns johns zeins fohns cines quins tins seines reins whens lins dines zines mines dinos loins hons bines sinhs sinus winos chaines sains chinas chinos tains shanghais minus yins
whin whiney whinny whiny whine win when twine wienie dwine wino swine wain winnow gwine wine swinney winey twin winy twiny