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.
shits shiatsu shuts chits shots shittahs shotts sheets shutes shoots shouts shotes shoats shiatzu shoddies chitties chats shads sheds cheats chides chotts shades shadows
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
shit shittah shitty chit chitty shat shied shot shote shott shut shute hitched chitchat