I've only bought two DVDRW drives, and both were Lite-On models. One for myself and one for my father's PC. His was a slightly newer model with Lightscribe, mine was a little older without it.
I doubt that it's something endemic in the brand, but I've had a few issues with mine. Sometimes it refuses to recognize blank CD media. The other day I was trying to burn some holiday music from iTunes for my wife to take to work, and it wouldn't recognize the blank disc. Then when I got it burned it worked fine on my PC, my laptop, and the DVD player in the living room, but it wouldn't play in her stereo at work.
It also sometimes has trouble recognizing data that was written from another device. For example, my father burned a DVD with our family history for me and my PC refused to recognize it. It kept saying that it was a blank disc. But I could play the DVD just fine on my laptop. It also had problems recognizing a pressed DVD with a game that I needed to reinstall. I had originally installed from the DVD with no problems, and the DVD worked fine on the laptop but didn't want to work with the desktop. I eventually got it to go, but it was a pain in the butt.
I think I'm going to replace it with something else, probably a Sony or Samsung. Not that I think that there's anything wrong with Lite-On (they are in wide use and typically don't have problems) but more out of the fear of looking like a moron if I get a second bad DVD.
Oh yeah, I don't think that I ever had any issues with it when I was running XP, but I'm on Vista now. It could very well be driver related, but I haven't seen a more current version of the driver yet. Heck, it could be firmware for that matter. I guess that's worth a shot too since otherwise I'm just going to pitch it.