For any new dvd's you have that you want to backup,
AnyDVD is a must, dvdshrink is ok but is no longer updated and will struggle with some of the newer protection on dvd's like sony arrcos and others. I would also suggest CloneDVD to run with AnyDVD, quick & simple.
FYI,
AnyDVD is a driver that runs in the background and removes the CSS & other protection from retail dvd's, if you don't have AnyDVD running then CloneDVD will not backup a copy protected DVD. You can get free trials of both software.