I have a VERY small number of DVD discs that my computer won't work with. They spin up, but very little can be copied from them. They have some advanced copy protection on them. On the back of the DVD case is a small icon with a red slash through a circle. That's the key. Some of these disks will read on SOME computer drives. Some won't. It's hit and miss. I now look for this logo when buying used DVDs and don't buy any that have it. I'm not sure if this is the same as your issue, but it's definitely been a problem on my system with this tiny number of disks.
Brian.