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.
chits chats shits chitties cheats chides chotts chutes chetahs shiatsu cheetahs shittahs chateaus chads shots shuts sheets shoats shoots shotes shotts shouts shutes shiatzu chuddahs shoddies
hits whits shits chits its kits gaits rites mites litas quits raitas doits boites wits aits heights hats phuts bahts mitts bitsy zits shots pits writs sites situs suits ditas dits ghats pitas titis toits whats whids gits phots whets knits gites bites baits fiats huts bitts fits hots wites coitus kites quiets quoits lits bits mitis nits nites hets waits tits duits ditsy diets whites zitis suites sits cites writes riots chats dites shuts
chit chitty chitchat chateau chatty chetah chid chide chat chute shit shittah shitty achiote echt hitched chott