Looking for a CD Player

OP,I know you said your NOT interested in streaming BUT you are missing out on an entire UNIVERSE of music,known & new to you & your wife..If you have a computer,ALL YOU NEED to start is a FREE,Pandora account!You can even check it out through your Smart Phone!
Once you see how amazing it is,you can always upgrade to better sound with a $6.00 per month,Pandora + account & a dedicated streamer like the ones that have been recommended already..

OP,I wanted to expound on what Pandora offers to you..
All you do is enter a specific genre or artist in search mode & the Pandora algorythm will que up pretty much EVERY song ever made in that genre or by that artist,along with songs that have a similar style..You can Thumbs UP or THUMBS DOWN songs that don’t fit your taste..Then you can set these up as "stations"..
 About the only "bad"thing I can think of is,it's NOT like listening to every song on a CD..It's more like putting several CD's on a multi disc player & pushing "shuffle".. 
As far as what music you do get here is a few examples:
I love listening to 40’s Big Band & Swing on Sunday Mourning’s..So I started by searching "Andrew Sisters"..Since I wanted to start my Sundays quietly,I only thumbs up slow,quiet songs,creating my Big Band station..Then searching "Swing"I chose more up tempo songs & "thumbs up"those,"thumbs down"on slow,quiet songs..Now I have 2 stations that cover Big Band ballads & instrumentals,and a second station that swings & bops,covering the entire 1940’s...
I also love Dean Martin,Sinatra & the Rat Pack..Easy,searched Dean Martin,thumbs up on a few songs & now my station is jam packed with every song ever recorded by those guys...
1950’s ballads,searched Ricky Nelson,done..1950’s rock,searched Chubby Checker,Elvis & Chuck Berry,done...Saturdays are for Reggae/Island/Surfer type music,searched Jimmy Buffett,Bob Marley,Jimmy Cliff & the Beach Boys,done...

Two things to note..
First you will get "golden ears"pushing the fact that Pandora uses a compressed signal that is not a high resolution stream..If you do not have a really good system,or you have some age related hearing lose,you will likely never notice the compression..
Second,unless you have a decent system AND good hearing still,you don’t need anything fancy or expensive..A few of the inexpensive streamers available today offer superb,CD quality sound for just a few hundred dollars..
I recommend that BEFORE you spend a lot of $ replacing that CD player,you start out just trying the FREE Pandora Account on your phone or computer..Play around with it,even for just 1 hour & I’m betting good $ you will be thrilled & eager to embrace the tech!!!
 

I have a Cambridge Audio CX100 transport connected to a Parasound Zdac Version 2. It sounds awesome and I gave no desire to upgrade. Total cost around $800

I have a Cambridge Audio CX100 transport connected to a Parasound Zdac Version 2. It sounds awesome and I have no desire to upgrade. Total cost around $800

I took the SACD plunge a few years ago with the Maranzt SA10 (which I know is more than you said you wanted to spend) and I found that generally I love the sound of a good SACD more than I love the sound of the average red book.  I have also found that as with red books, not all SACDs are created equal.  But in general, to me with my player, I find the difference between red books and SACD is like drinking 2% low fat milk compared to drinking 1% or skim.  (It's been a long long time since I've drank whole milk, so that's why I didn't use that in my analogy.)