newer CD player w/DAC that could replace AMR CD-77.1

REGA ISIS cdp/DAC or better still REGA ISIS VALVE cdp/DAC

https://www.tonepublications.com/review/the-rega-isis-cd-player-2/

each unit sold has two matched ( 2) lasers on reserve at REGA to bulletproof you going fwd. 

Emotiva ERC-4 

What is your budget?  I would encourage your to look at Canor for tube units or Cyrus for SS.  These are just objectively good CD players but might offer a different suggestion depending on your budget.  

Will you be playing SACDs?

I recently learned, most SACD/CD players read a SACD’s higher resolution DSD content, but then internally convert DSD to PCM CD Redbook resolution, that’s what goes to the preamp. Advantage of recording DSD is retained, but not advantage of DSD out.

I’m searching for SACD players that output DSD without conversion to PCM. In your search for one that can stream, if you find it's also no DSD/PCM internal conversion, please let me know.

Your CD player sets a pretty high bar.  I think you’ll have many more options going for a DAC, and that would depend on what sound characteristics you’re looking for.