I've recorded through from LP via LP Recorder, which converts the signal to WMA, and burned with Nero. Works fine burning to CD-Rs, done about 20 of them. I had no CD-Rs left, so I used CD-RWs.
These play OK on the computer (where I tested them,) but not at all on either of my CD players. As I said, they won't spin.

Not a tragedy, the WAV files are still on the computer, the CD cases are printed, just have to re-burn with CD-Rs.

PDQ, these ARE some of the Renbourne-Grossman recordings from the late 70s. I bought them then, on LP. So good, they make you want to spit!
David, the good stereo has no 'modern' inputs except a CD player. I bought it in '75. Your last quip reminds me....

When I lived in England, a girlfriend left a LP half on the window-sill in the sun. It became a L-shaped LP. So, she ironed it flat again. That took "All the little grooves out." She them tried to put them back in, with a pin.....
She told me all about it. When I got up from the floor, she was no longer my girlfriend.