Here's a quick video of the phonemes that are present in American English. It moves faster than yesterday's video and adds two phonemes that I had left out.
The first difference from yesterday's video is the new video explicitly separates out the voiced TH and the unvoiced TH as separate phonemes. Second, the WH phoneme has been added. Some may argue that the /wh/ sound has disappeared in American English and been replaced with a /w/ or /h/ sound depending on the word (think who and where), but I can still hear the /wh/ sound in words like what.