My backups are movie only, almost invariably, so I don't have to mess with any programs to remove warnings, trailers, etc.
With dvds, my process is to start AnyDVD to remove encryption. I also check AnyDVD to see if there are any types of advanced protection on the movie. Any movie with advanced protection gets ripped to the hard drive with the built-in ripper within AnyDVD at this point. Most do not.
I then use DVDShrink to examine the movie and find out how much compression will be necessary to fit it onto a single layer dvd. If there is only a small amount of compression necessary (less than 5% of the total size), I'll go ahead and use Shrink to compress the movie.
If the movie needs more compression than that, I use DVDRebuilder Pro and the HC encoder to reencode it, always working from a ripped copy on the hard drive, never directly from the disk.
Then I use ImgBurn to do the actual burn to a disk.
For blu ray, I rip the entire disk to the hard drive using AnyDVD's built in ripper. I make movie only backups to 25gb disks using BD Rebuilder, and burn with ImgBurn. I use different modes in BD Rebuilder, depending on how much compression will be necessary to fit onto a 25gb disk. If there is little compression needed, I often use the High Speed 25gb option. For those that need more, I use a High Quality 2 pass encode.