Sounds like you've got a "copy-controlled" disc.
The protection they use (a version of Cactus Data Shield) actually makes the disc non red-book compliant, which is why you wont find a Phillips Compact Disc Digital Audio logo on it anywhere. It works by writing the audio to the first session of the disc, which audio players read, then writing a second session with an invalid table of contents, which is what pc-cdrom's pick up. It also messes with the cd's (although it's not called a cd anymore) error-correction codes, which in reality means that the disc is less scratch resistant.
A lot newer CD drives can figure out the real TOC and read the audio tracks, however, older ones just get confused with it. My Samsung 308E CDRW/DVD combo couldnt rip it in MC, but I tried a program called Feurio which can work out the real table of contents in software, but it's still dependent in the end on your hardware. For instance, although I could read the audio, I got a very audible pop in the first 9 seconds of the track.
Also, new high-quality CD drives like those from Plextor have problems reading them for a number of reasons. For example, Plextor like to be an ethical company (fair enough) and so supports hardware copy protection.
This really sucks for people like me, who have their computer hooked up to a high quality sound system and dont own an actual stand alone audio cd player.
Try googling "copy controlled" and you'll get a whole bunch more info.
Scott.
ps. when buying, look out for the copy-controlled logo.