The first time I ever heard an audio production of a Ray Bradbury story was back in the 1980s. It was a BBC radio dramatisation of Fahrenheit 451. I soon started collecting as many Bradbury recordings as I could lay hands on, either by off-air recording or by trading with other collectors. In those days I was collecting on audio cassette.
Sometime in the 1990s I switched to using miniDisc as my preferred recording format, despite the irritating 80-minute recording limit. (This has been overcome in recent times with the HD incarnation of miniDisc.)
Nowadays its much more convenient to keep everything on computer, so I have slooooooowwwwwwlllllyyy been moving over to MP3 for archiving.
I am reluctant to post complete MP3 recordings on the web, since all of the Bradbury source material is still in copyright. (Some of the older recordings - particularly the American productions - have slipped into the public domain, but the underlying Bradbury writings are still copyrighted.) But there are plenty of other people out there who either don't have my scruples, or who don't know much about copyright laws. Or who just don't care.
I recently came across a rather anonymous site called Acmesoundstation.com. It has no explanations on it of what it is meant to be, or who it belongs to. It carries a large amount of old audio material, including some of Wally K. Daly's BBC science fiction plays (particular favourites of mine for many years).
From trawling through, I have found one Bradbury item (which I already have on CD, as it happens): CBS Radio Workshop's production of 'Season of Disbelief' and 'Hail and Farewell'. This item is unusual in having an introduction written and recorded by Bradbury himself. You can find the MP3 file here, and browse the entire site here.