Following up on Verbusen's review, let me just add that the radio show can occasionally be heard on the "Radio Classics" channel on Sirius satellite radio. They don't play it often, but I've heard a few episodes. Not hilariously funny, but kind of sweet and warm. And yes, once you recognize Alan Reed's voice as "Fred Flintstone", it becomes hard NOT to hear it.
I also agree with the assessment that, while one might expect material of this nature, from this time period, to be what we would today consider racist (or at least insensitive), I did not find it so at all.