I remember these records well. I recall that a friend and I spent many hours with a little cassette recorder making our own versions of these things, usually Watergate-themed.
Albert Brooks did a hilarious parody of these on his LP A Star is Bought. The over-arching comic idea of the LP was that he was going to maximize his chances of having a hit by recording one track for every existing radio format. So there's a country song, a call-in show, a classical piece (Brooks singing the long lost lyrics to Bolero!), and even something for nostalgia formats: one of Brooks's "pre-natal" radio shows. Hilarious meta-media parody, way ahead of its time (mid-1970s).
The Dickie Goodman parody was his Top 40 entry. The hitch was that his budget was too small to afford rights to the real Top 40 hits, so he just wrote his own snippets. The result is funnier than it has any right to be.
Sadly OOP.