Most of times this issue is due to a bad burned disc. Different drives have different capabilities to read bad burned discs, so this explain why some drives can read the discs and other not.
My suggestion is to recover all data on these problematic discs and burn them again on another DVD, before the disc become unreadable at all.
Most of times a bad burn is due to a low quality disc or to a wrong burning speed. So I also suggest to use proven quality media like Verbatim and burn them around the certified speed (for example, 16x certified media usually give best results at 12x or 8x)