Not sure about burning, but according to their
feature list page, WinAmp 2 will play AAC audio files. There is no mention of AAC specifically, but I would assume that 3 will as well.
I'm assuming you do not have a CD-RW drive in your machine now, or you would just use iTunes. Why not just upgrade your machine with a DVD/CD-RW combo drive?
I've had good luck installing
this drive in G3 and G4 towers. This drive does support iTunes and finder burning in Mac OS 10.2+ Mac OS 9 support is spotty however.