CD player closest to vinyl?

Burmester 069 or Burmester 089.

Ahendler, "If you want the sound of vinyl use a turntable, not a cd player."

Trouble with this is that the needle has no groove to track on a cd.

Storage format dictates the equipment required, for me.

There are none. Digital is digital. But you could make vinyl sound digital, just put it through a A to D converter.

What CD players sound closest to vinyl?

Always the next

If you are asking, which CDP maintains or presents a more analog sound, timbre and warmth. I have been very pleased with my Ayre C5xe-mp especially since the MP upgrade. However, I can't be fooled if someone does a blind A-B between LP and CDP, but it is close, in my opinion.