Frank Sinatra CD's with Great Sound?

To start the New Year I am renewing my search for Frank Sinatra music. I am looking for CD's in particular. Unfortunately it seems like trial and error to find cd's that deliver the musical goods. For example, the My Way Cd, "The Best of Sinatra is a 2 cd (Made in Australia)
set and it seems that the highs and lows were cut off. This is a problem in many cd's as they seem to be made for
portable cd devices only. The choice of Sinatra Cd's is vast and I was looking for guidance to find particular cd's that let all the music come through. My system consists of Thor Audio Amp, preamp, Blue Note Stibbert Improved Tubed Cd player and quad 988's. In short, my system is up to it, but is the source up to it as well? Any help with particular recommendations would be appreciated.