Many newer movies have encryption and protection that DVDShrink cannot remove properly by itself. You should try the free section of DVDFab for the actual decryption/ripping part of your backups.
Be aware that as you use the free section, called DVDFab HD Decrypter, you will be using up the trial for the main part of the program. The free section will continue to function even after the 30 day trial is finished.
You might also want to look into a free burning program called ImgBurn. Many of us around here us it for burning video.
There is even a version of DVDShrink that can use ImgBurn as an automatic option to burn rather than DVDDecrypter. I think this thread is still a valid way to find it. http://forums.afterdawn.com/thread_view.cfm/664041
You’ll need the latest Imgburn at www.imgburn.com as well.