I have a plextor 24x drive. If I burn faster than 16x, it switches between CAV/CLV modes, and on my sony player I hear some digital noise staticy-bursts during playback after it gets farther into the CD. I don't notice the effect if I play the burned disc on other players. I suspect you can get the staticy effect on CDRs to where it's present, but subliminal, and makes the music sound harsh.
The hard part is getting the bits off the original CD accurately, which as mentioned, you want to use
www.exactaudiocopy.de for. Burning the bits to CD is easy. It's reading the bits back off the disc that's tricky, and that's where things like CDR Brand, Burner, Burn Speed, and especially your playback source factor in.
The good news is that if the bits were ripped and burned to your copy accurately, you will most likely be able to re-rip the CDR with EAC, and burn it out to a fresh disc and get a copy that will play better than the CDR you are having issues with. If the quality loss is due to bad ripping, then go back to the CD original.
Counterintuitive, but it's not that the data is bad, just that your player may be having a harder time reading the bits off the disc.
I've even had a commercially pressed cd (VNV Nation - Empires) that had playback problems, so I EAC-ed and burned a copy, and the CDR plays better than the original on my sony player and my factory-installed player in my truck.
I use a Plexwriter 24x, FujiFilm Media (Made in Japan by Taiyo Yuden), and only burn at 16x.