On Dr. Leonard Peikoff's website, he notes: "In light of the current debate on socialized medicine, this week's podcast will be a talk on the subject given 16 years ago by Dr. Peikoff."
His original speech was delivered at a Town Hall Meeting on health care in Costa Mesa, California, on December 11, 1993.
You can watch his talk here.
The updated 2007 version of his speech can be found here in HTML format or as printable PDF version.