A Low Cost Pleasant Sounding Used CD Player?

Good suggestions above.  Let me suggest another way to go.  If you have a DAC then you can use a CD Transport.  You can also use a CD optical player that when attached to a hard drive can rip your CDs or can just play them when attached to a DAC.

 My NAS is a Melco N 100.  I use the Melco optical device primarily to rip CDs but every now and then I just play it from the device.  I’ve done the same thing with Apple Optical devices.

  The OP said he rarely plays his CDs, so if he is interested in ripping them to a server an optical device that both plays and rips might make sense

I have had good results from NAD CD players from the early 2000's like the the CD 521 BEE or even the earlier CD 520. They sound good via their native DAC's or as transports. Unfortunately, prone to failures and burnt out displays. Also Rotel's from the same era such as the RCD 951 are good transports. The native DAC's are less listenable (except for HDCD's) but they are built like tanks.

I also have had excellent results with NAD CD players. I still have one in my secondary system. They are smooth sounding, no digital glare. I also enjoyed my Rega Apollo-R, again very smooth. I would have kept it, but when I reconfigured my system, there was no room to accommodate the top loading lid.  

@tsampa Do have SACD cds or planning to buy them?

Regrettably, I don't have any SACDs, though I am very curious to hear one on a decent player.

Richardbrand: Are you suggesting something like a SONY UBP-X800 universal player?