Dumb question, but does it happen with all CDs or just some? I've had problems in the past with some burned discs.
If your CD player has died consider an aftermarket audio unit with a USB port and/or bluetooth streaming for your smartphone. I carry all of my music - nearly 1,000 songs - on a USB thumb drive. CDs are so 1998
I still have my OEM audio unit, but there are tons of aftermarket units in the $200 to $400 range. Dash fit & steering wheel controls are two issues you'll have to deal with, but any shop with expertise should be able to help you.