6000 dollars CD player

If Classical is your aim, there is no CD player I would take, at any price, over the Ensemble Dirondo. I heard it at Munich and it really made magic. 
http://ensembleexperience.com/dirondo-drive/

No... no... no...

Don’t waste your money on any CD Player - none of which provide the sound quality of one of the better R2R DAC’s with a good CD transport.

There is no CD player that comes close to the sound quality of the good R2R DAC’s - none of which will cost you more than about $2500, if that.

Here’s a thread, which identifies the best / better ones (though, the Schitt Yggdrasil Analog 2 compares quite favorably to most of these in this thread).

https://forum.audiogon.com/discussions/some-dacs-i-am-considering-any-thoughts

And... you can always start ripping your CD's to FLAC files on a good server (Bryston BDP 3, etc.) to make access to your music a very convenient exeperience!

Pick a Mark Levinson- new or older--great-=-

What you're listening to in a CD player is the DAC, not the transport.   The CD reader is just what you get from a $20 CDROM drive.   Really.

It's the DAC you're listening to.

I run a Tascam CD player because it's a piece of pro gear, and being pro, is more durable and reliable than consumer stuff.  I run an optical line from it to my DAC.  The sonics from the CD player are identical to the same track being played back from my laptop digital files.

But if you've really got $6k burning a hole in your pocket, then you're the kind of guy this industry loves.

Another vote for the Yammy CD-S2100. It seldom fails to elicit the "I can't believe that's digital!" response from my analog-loving audiophile guests. At $3 grand, I absolutely believe it's the sweet spot for price and performance. It boasts an excellent DAC and plays SACDs wonderfully, should the OP eventually see the light in that regard.

Enjoy the tunes.