For a great sounding CD/SACD player on a budget using analog outs without a DAC, the Sony DVP-NS775V has audiophile approved sound. Can be had for less than $50 USD on auction sites or classifieds.
Other Sony DVD models of similar vintage and model series may sound similar via analog outs.
An excellent sounding "Starter DAC" with USB, coax, optical inputs and good headphone amp is the FX Audio M6
Was on sale recently at Parts Express for ~$30 USD shipped- amazing sound quality for the price, and amazing feature set- USB DAC, good headphone amp, coax/optical inputs, USB powered headphone amp, and AK4452VN DAC chip with 24/192 capability.
Asahi Kasei DAC chips are preferred by many audiophiles I know, self included. Many of the best high dollar DACs use AKM DAC chips vs ESS Sabre and others.
Denon/Marantz higher line receivers/pre/pros use AKM chips.
The Sony 775 + M6 DAC would be my goto budget audiophile grade CD/SACD/headphone amp/DAC combo
I've found several 775's at thrift stores around Michigan, or yard sales/classifieds like craigslist/LetGo, etc
Street price of used DVD players like the Sony 775 is only $5-$10 USD nowadays, even less on a good day, seller who doesn't care
FYI, going rate for remotes is about $8-$10 USD at auction sites, sometimes free ship or not- something for negotiating
(ie subtract value of remote if missing)
Yes, most DACs, M6 included, have RCA (cinch) line outs for external amps.
By going this route, you can play far more music discs- CD, SACD, DVD concerts and music discs (though not DVD-Audio MLP tracks with the 775)