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.
diapirs diapers tapirs dippers dopers dupers tapers depress tappers tippers topiaries topers toppers
diapirs tapirs piers speirs sapors reapers rapiers rapers papers leapers gapers capris copiers pairs spires heapers vapors apres apers repairs soapers spiers diapers tapers japers capers shapers
diapir diaper dippier didapper