This isn't another Chickenman album but it is also an LP and every bit as good or almost as good or more good depending on your taste in humor and funniness:
The Bob and Ray Albums Vol. 1 & 2
I used to run Chickenman every hour but these episodes don't have to intro and outtro and to do it separately and get the exact time right is hard. Maybe too much trouble.
I should do them again and compile 100 or so and do it without the entry and ending, as they are here. There's a few large playlists on youtube but no into/outtro.
Will think about it.
Dick Orkin also produced the series The Adventures of the Tooth Fairy, which actually had more episodes than Chickenman.
The only problem I can see running these programs, particularly if you're streaming, is that there's no way they're in the public domain. I don't know how some can show up in the Internet Archive - I looked for, but didn't see any licensing information.
I found the answer to your question, Artisan. There are thousands of out-of-print LP record albums on the internet archive listed as 'Unlocked Recordings':
Unlocked Recordings
Recordings made available under the Music Modernization Act. A reasonable search has been conducted to determine that these items are not commercially available. Please be aware that subsequent uses may not be permitted under US copyright such as reproduction, distribution, display or public performance.
OK, I see.
This only applies to the U.S., and it allows, as Carl states, non available recordings pre 1972 for non commercial use. You have to send notice to the rights holder, and they have 90 days to respond NO. At that point, the applicant can still argue that it is fair use and I guess someone or some body decides if that is the case.
I'm surprised that downloads are allowed but I guess that has been cleared with the rights holder. I wonder if non commercial Part 15 station streaming or broadcasting would be OK?
Streaming definitely wouldn't be OK in Canada and elsewhere. Not sure about broadcasting with BETS - SOCAN and other licensing bodies don't care about music with BETS, but this wouldn't be classified as music. It probably would fall under the same category as CBSRMT and other later radio shows, and you might have to get specific permission from the rights holder.
Scrolling through the thousands of LP albums downloadable from the Internet Archive I recognize many of the album covers because I have 10,000 of them in my vinyl library. Back when I worked in licensed radio I could play these on air without encumbering the station with royalty fees but in the new time of web streaming all the records are off limits. I do have to wonder what person would detect some obscure work such as, for example, Choros No. 9 by Heitor Villa-Lobos played from an old Columbia mono album. I would gain nothing from programming an old album, except a satisfaction of sharing interesting music. If anything the act would be of educational benefit to society and scarcely a crime. Or, the discs could bring a few dollars on Ebay.