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.
shims shams shimmies shamos shawms chimbs shamus shmoes shamas chimes shames shammos shamois shamoys shammas shammes siamese shammies chams chums shmooze
hims whims shims chimbs aims shams chimes chams limbs simas rimes bimas vims hams hems hums limas dimes whimsy chums limes mimes nims ohms pimas rims sims dims whams limos times maims
shim shimmy chimb chime sham shame shammy shamoy shmo schmo schmoe