I have a Naim CDS3. I listen to CD's about 35% of the time. I actually prefer opera on CD (longer sides and MUCH easier to find my place in the libretto). For other classical music, CD's can be better where the lp was not well-mastered and subject to break up. But, for jazz and pop vocals, CD's rarely match LP's for their presence and liveliness.
The Naim CDS3 is a great CD player, one that I much prefer over the Sony SCD-1 SACD player that it replaced in my system. But, if one is looking for a CD player that sounds most like an LP set up, I would suggest looking at Audionote DAC's. I've heard the DAC 4 balanced and the DAC 5 signature, and they are terrific, albeit at breathtaking prices.
By the way, my analogue rig is a Basis Debut V (vacuum) table, Vector arm and Lyra Titan cartridge.