Feeling Good was released in 1965. Much closer in time to our Gen Z'ers than the music from the 20's and 30's.

For some reason I was thinking it was the late 40s. My bad. It is much closer to the era of Beatles/Stones/Doors and the like.

I did a few searches for names I knew, but most endured into the 70s, and most recordings I could find (like Armstrong) were from the 60s and 70s. Very little from the 30s (actually, nothing from Armstrong, though I suspect he was active then since he was born in 1901). Maybe just a limit of the technology available at the time, so not much was recorded in a recoverable way. Perhaps a phonograph was a luxury item, and people got it all from the radio. Not sure.

Not counting re-recordings of classics, like TACO ("Puttin' on the Ritz"), or Michael Bubly (lots of songs). Though, "Puttin' on the Ritz" may now survive since TACO did it in 1982.

YouTube: Taco - Puttin' On The Ritz (Official Video) (Taco)