Best Cd Player under $4000?

Ditto to a tee what Cincy-Bob said. The AMR is, IMHO, the best sounding player under $20,000. Actually, I haven't heard anything above $20,000 that betters it either (but I haven't heard the top of the line Zanden).

I agree with Jaybo, find better speakers. That's where you problem is - I used to sell JM lab and the Chorus line was lean and mean - I closed them out fast.
Jay

I third Jaybo and Audio Revelation. I can't recall which model of Focals I had as they only lasted a week or so in my set up. Lean & mean is a understatement. No control on high end.
I moved mine to many times to try and correct this. The last move was out the door.

Listen to the PrimaLuna Prologue 8. I would describe it's sound as warm, with a huge soundstage.
Must have second upgrade circuit board, and it really benefits from tweaks and tube rolling. I'm using a Cardas Golden Reference PC, Hi Fi Tuning Fuse and Black Diamond Racing isolation. Read the Stereophile review from about eighteen months ago.

I fourth upgrading the speakers rather than the source although I agree that the Cambridge can be a tad bright in a lean system. I've never been a fan of the Chorus line which were just not well enough balanced for my liking - a bit too much treble energy IMHO.

If you are absolutely fixed on upgrading the source, then I think you could look for something with a different sound signature to the Cambridge. You definitely don't need to throw 4k at it - have a listen to some of the tube output players around. Musical Fidelity A5 is a very smooth listen as is the Cayin CDT-17A. For non-tube players, the Marantz line (SA11 or SA15 models) are also more lush in presentation style than the Cambridge.