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.
demure demur daymare damar dimer timbre teemer tambur dumber dimmer dammer dammar tumour doomier tambour tambura tamboura
mure immure demure tumour tambur sambur mura demur sombre rumour mare mere mire more murr murre bemire femur hombre humour lemur amour ombre timbre daymare chimere
deem deme demo demy edema idem odeum