I have owned a CAL Icon MK II for over a decade now, and am having a lot of trouble finding anything better under $2500 U.S. I've listened to the Rega Saturn, several NADs, an Arcam FMJ-something or another at about $1000 U.S. I have yet to find a CD player that sounds so "whole" in my system. The Saturn was too "thin" and too bright, as was the Arcam.
Plus, these players can be found cheap these days. You can hardly go wrong with one of these for a couple hundred bucks. You can still get them serviced by the people at www.approvedaudioservice.com (I haven't tried them yet, but I am about to).