Ghosthouse described the problem as some recordings sounding "sort of edgy and a little hard sounding". Based upon that description I find the majority of responses unhelpful. The suggestions to get a new CD player, a new D/A, reclockers, power conditioners, etc. are out of proportion to the described problem. Ghosthouse isn't saying that all his CDs sound edgy, nor is he saying that the few he objects to are unlistenable. So why the drastic, expensive solutions? Changing equipment is not an effective solution to every audiophile situation.
In all probability the slight edginess/hardness is how the recording has been remastered. Remastering has been reduced to a marketing term, but basically if you take a a pop/rock analog recording from the 60s thru 80s and try to make it somewhat modern sounding you'll run the risk of making it edgy/hard. In their original incarnation these recordings were heavily processed and never intended as audiophile recordings. A straightforward remastering of the material will reveal the "bad" nature of the recording. To counteract the high frequency response roll off from massive overdubbing or tape wear the remaster engineer will EQ for added treble and "air" which can make the recording sound more detailed. Couple that with the current commercial requirement for a loud recording and you have a formula for edgy and hard.
If the situation really is only a few recordings with a slight edgy/hardness, then do nothing and just accept the situation.
Doctor, it hurts when I do this...