Is there software that can

copy CDs that will play on CD players that do not play CD R? I read somewhere that there was but have been unable to find any such software. I have a high end DVD player that only plays DVD and CD and I would like to play backup copies of some of my CDs. Thanks in advance.

For what I know this is not a burning software issue, but a feature of your hardware.

Some standalone players are really picky about media, or their firmwares are locked specifically to not allow reading of burned media.

To improve compatibility, you can only try to burn audio CDs at a speed not above 16x, and for DVDs you can set booktype of +R media as ROM, if your burner is able to do this change.