People keep recommending the Pioneer DVD-ROM drives.
However...
I have a Pioneer 104S and the thing rips music flawlessly (no clicks or pops, etc.)... but there is annoying split second chirp at the beginning of rare songs, and which only can be heard on my Apex DVD/MP3 player. (.wav files burned to CD-R are fine, and Winamp on my computer is fine if I remember correctly).
With my Panasonic CR-584B I NEVER get these chirps.
One thing I've noticed:
Pioneer --> Multiple rips --> Every file has the exact same CRC value, and exact same file length.
Panasonic --> Multiple rips --> ditto.
HOWEVER, the Pioneer and Panasonic file sizes are often slightly different. I can eliminate the chirp by truncating the first bit of data off my rips, so I suspect that some of Pioneer drives have a bit of trouble finding the true beginning of songs. But once it locks in, it rips beautifully.
Plextors cost a lot, but in general the quality is good, although my friend's Plextor wouldn't behave with some software programs.