What CDP gets really close to vinyl?

I strongly SECOND the APL NWO-M. Read the reviews here and by various mags (of its predecessors).

Starts with the best Esoteric transport made, add lots of 32-bits DACs, top-quality parts and genius engineering and you get a piece that is second to NONE in the digital world, IMHO. Literally exponentially better than the APL machine used at the famous San Diego shootout several years ago(from the "thread that wouldn't die" fame). It just does everything "right" without even trying.

If you are lucky enough to hear one, you most likely will start going through your finances to find a way to acquire one. Yes, it really IS that good, IMHO. I have no affiliation with APL at all - just a very happy NWO-M owner.

Burmester 069 with Reference Line Power Supply Unit. You've the best magic sound of vynil without any defects.

Another vote for Resolution Audio Opus 21. Certainly you could get new CD players that come along with latest chips and higher resolution, but somehow the Opus 21 managed to conjure up timbre and tonal hues reminiscent of vinyl that I suspect wasn't even there with the digitial format.

To get the best from this player, a DIN to RCA interconnect is needed to bypass the internal volume control. The DNM Reson is an excellent choice at affordable price.

Ear acute, just a fantastic player, bettered my capitole, by a long shot, most analog sounding player in my experience:

You owe it to yourself to check out Playback Designs MPS-5.

Please read all the reviews for yourself & then audition one.
As close to vinyl as I've heard to date. You won't be disappointed. Also can use the internal dac with a server.
Very flexible.