A DAC to help overcome compressed music?

The rest of my system is a Luxman 590AX II (class A) and Harbeth 30.2. So for a clearer idea of what I mean by compressed, compare an Emmylou Harris, Nanci Griffith album to Alicia Keys or Diana Krall album (ignoring genre for now). The former sounds flat, bland, the later so alive, open and natural. So I am guessing the former is due to being compressed, as mentioned, the loudness wars, so it was made for listening from FM, cassettes, or cheap record players and I'll have to live with it. I actually have used DBX in a past system, but never liked what it did. I appreciate the suggestion of the Ayre since you have a bluesound also. So, perhaps upsampling like the Ayre does will help? Perhaps an R2R rather then FPGA? Or maybe I'm just trying to just improve (not fix!) something that can't be. Wouldn't be the first time.

I was not specifically looking for a DAC. I was overall looking to improve sound of some favorite music that, as another poster mentioned, was purposely recorded a certain way to sound “good”for lower quality sound systems. Which ends up sounding pretty bad on a better system. That being my quest, if a better DAC would do it, so be it. However, perhaps I should keep another system for that, one of those 80’s receivers, Bose 901 or Cerwin Vega speakers or some such (jk). 

Thanks all, some good suggestions that I will look into.  Mahler123, you nailed it. I was wondering if others found that happening to them and it wasn’t just me - or if there was, perhaps a magic bullet.