Dragging an AIFF "file" from a mounted audio CD to a location on your hard drive is not technically ripping a CD, and definitely not the best way to get a clean copy. To start with, there actually are no "files" on an audio CD, rather uncompressed, raw PCM audio indexed with a table of contents. For the sake of convenience, operating systems such as OS X "see" the audio tracks as "files."
To ensure perfect rips on a Mac, the best software without question is
Max (with full paranoia enabled, and skipping never allowed). Still, the best you can do is CD quality audio, even if the original disc has higher quality audio, and assuming your CD drive can even read the disc in question.
To repeat some of the main ideas in this thread, Disk Utility is not capable of copying audio CDs, video DVDs, etc. It is a utility for copying different types of data discs, among other things. iTunes simply doesn't offer playback support for files of the quality you're dealing with.
As much as most people on these boards don't like Microsoft products, it would seem that they certainly were an early entrant to the market with playback and encoding support for multi-channel, high resolution audio. Windows Media Player for Windows can play a lot of this stuff, but ripping certain kinds of discs is still difficult, and sometimes impossible, on Windows PCs.
I would like to help more, but in the case of esoteric audio disc formats and what you can do with them, your best source of reference may be
Hydrogen Audio.