A CD player is really two components- a "transport" and a DAC, or digital/analog converter. The transport carries the disc, reads the encoded material, and delivers it to the DAC for decoding.
At the risk of infuriating the new members from Stereophile, there isn't a discernable difference between any two competently designed transports, although there will be significant differences in appearance, ruggedness, and longevity. For the sake of argument, "competent" will be defined as consistently delivering 100% of the information to the DAC. If it succeeds at that, it's as good as any other.
The magic occurs at the DAC level, and any audible differences will occur here. If your CD player has a "digital out" jack, you can always upgrade by connecting to a better DAC.
They're are many good inexpensive players these days, Rotel being just one example.
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