I don't think there is much you can do about it, at least not legally or legitimately, without going out and buying a current model Blu-ray player.
The unfortunate thing is, Cinavia is only actually intended for Blu-ray discs. The people who are mastering the discs, are carrying that DRM over to the DVDs where it really isn't supposed to be.
I had thought that a player which wasn't equipped with Cinavia hardware, would play the discs, and people were scrambling to grab up those old players, before the cutoff date when you could no longer manufacture a Blu-ray player without the dreaded DRM.
Oh yeah, and you could ostensibly copy a Cinavia protected disc, the picture would be OK, but you lost the sound on playback. Hm...