Does your CD player not play all the way to the end of the album?

I have an older CD player that is considered one of the best, but can't get all the way through "Waiting for Columbus" and a newer Marantz ND8006 that won't make it through " The Heart of Chicago,1967-1998 Volume II". They get down to the last 3-4 minutes and either just stop, or just start skipping. And it happens with other albums also.  Has anyone else experienced this, and if so is it fixable?