Recommendations for CD Player/DAC Combo

There was much more choice as recently as two years ago.  The precipitous decline in CD sales is one reason that manufacturers stopped making them.  The other is that Oppo really dominated that market niche, and their decision to pull out left a void.
   At your budget the best option would be a dedicated transport and DAC, such as the Cambridge Audio transport That goes for around $500 combined with DACs from the likes of Mytek, Benchmark, Schitt and others that sell for around 2K.  You could also use something like a Blu Rayor DVD as a CD transport.  Sony Blu Rays can be had for under $100 and are very slim, if space is a consideration.
  Sony makes a Universal disc spinner for around $400 that plays everything and has gotten decent reviews.  I think it’s DAC can be accessed.  There is a Marantz SACD/CD player four around 2 K that I think has an accessible DAC

@stereo5 

one reason to have more expensive spinner is feature set.  I used my Oppo 105 as my everything, including DAC, but eventually upgraded the DAC.  The Oppo was mainly a transport then but still came into use for SACD, DVD-A, usb drives and network use

Uber

I use a Pioneer Elite CD/DVD-A/SACD Player, vintage 2004, in my surround system, paired with a Pioneer Elite receiver that uses an “I link” to pair the two.  It’s a remarkably good system for “mid-Fi” gear.

OP

spinner could mean CD transport, or refer to a full CD Player.  It’s to distinguish from Computer Audio, although technically, some types of Hard Drives actually spin as well...
  More importantly, if you go the separate route, you will have a lot more options than sticking with a CD player availability .  And you will gain flexibility, because DACs can be used with other sources as Computers and potentially as streamers as well.

The the old vinyl is better than digital refrain.  Ugh.  When I listen to digital the music leaps out my speakers.  When I listen to an lp if sounds as if it is embedded in petroleum.