I'm not sure I'd go for an "old" CD player, unless the price was the main driver for the purchase. An "old" unit would not only have hours on the parts that fail, it would also have an old DAC, something that's been greatly improved over time.
In my experience, the thing that needs repair on CD players is the mechanical disk handling part. I've had to have that part fail in a Yamaha CD player and an NAD Masters Series SACD player, and in the case of the Yamaha, the repair cost was very close to the full list price, so I declined that repair.
Oppo got out of the CD/SACD business, hence I upgraded my PS Audio transport to the new model which uses the part from D+M (Denon & Marantz), which (hopefully) will be available in the future.