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.
minis minnies meinies mines miens munis mains minas minus monies manias minnows meanies mans mons menisci muns manus manes monos menus mensa moans manse mince mincy moons mense monas manos manas means muons hymns mynas hymens mannas mensae moneys mynahs mannose meanness
finis minis ins fins conies bennis jennies kins pines goonies anis meinies minas beanies quoins cains bins kines johnnies loins nisi bines seines quins bennies lenis anise veins pennis cions lines vines linos jinns munis lunies ranis ains heinies pains lionise genius sanies whines dins tines tunnies wines wins chains danios wains chines chins sheenies shinnies tennis yins whins tains kains dines rins sinus sinhs nines pians minus zinnias manias toonies penis xenias ponies funnies zeins pins tenias ruins bunnies lanais chinos vinos tenuis dinos hins tawnies zanies ennuis shines townies zins sins reins fannies cines pinas ninnies finos wienies coins loonies genies mains pions ionise mines jins monies kinos sines meanies lions gunnies miens foins phonies weenies jinnis joins quinsy ions vinas hinnies boonies inns gins nannies gains scions liens linns lins kinas pennies koines fines chaines sains shins shannies unais tins tennies taenias denies sonnies minnies zines winos rinse rains pinnies peonies peins whinnies chinas yonis
mini main imine amnia mania meinie meiny mien mina minae mine minnow minny monie muni amin amine amino amnio imino