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.
humeri hummer homer humor hammer hemmer homier humour hammier hombre
humeri vomer chimere fumer mammer miri timer number gammier mimer dimer beamier cummer hammier seamier limmer omer bomber aimer ameer camera rammier gemmier gummer lamber boomer homer woomera yammer shammer chimer womera teemer doomier summery simmer rummier mummery shimmery limber lumber tamari somber roomier amber rhymer comer rimier gamier roamer jammier boomier fumier hammer gomer hummer rammer camber emery foamer ember omber limier seamer cumber bummer emeer dammer member gammer namer timber mere maimer foamier chimera gummier hemmer homier loamier jammer rimmer gamer rimer comber reamer emmer roomer smear dumber lamer wommera shimmer mummer rummer seemer summer dimmer tamer umber chamber chummier shmear yummier
hum hame heme home homey rhumb rhumba