You don't have to give up on those recordings! IME the "bad guy" is that the nature of the recording excites the playback system to misbehave, you hearing "glare" as a result of the reproduction of that version not being pristine.
So, alter the mastering and playbacks can "handle" the material better, they sound cleaner. Or, vinyl rips - same story, they "stress" the audio rig less, for a better listening experience.
CDs deliver the message absolutely straight, and the slightest imperfection in the playback chain will be emphasised, you get "glare", lots of it. One solution is to "fix" the playback chain, the approach I use - result, no glare, on any CD ...
Another factor that causes "misbehaviour" is the room. The gentler sound of much vinyl may excite the high-frequency 'etch' from bad room reflections less and thus expose this weakness in the sound reproduction to a lesser extent. Once that is resolved by proper room treatment, and that imperfection in the playback chain thus eradicated, CDs which deliver the message straight, as you say, will sound much better.
After I had proper room treatment, I discovered that about 90 % of the glare in my sound, which I previously had attributed to digital, came from the room. The remaining 10 % or so were largely taken care of by upgrading the DAC.