How to backup DVD movies using free software ? I followed many guides, but haven't found yet easy to use freeware program for saving protected DVD. How to make a backup copy of DVD movies for personal use?
Try freeware DVD Shrink.

DVD Shrink lets you create backup copies from any DVD, even protected DVD! The files are saved to your hard drive, from where you can use your DVD burning software to create physical backup copies. The program allows you to re-author the DVD content, you can cut sections and reduce the size of the files or eliminate content that you do not want. In addition, it can reduce the overall size of the DVD by using compression methods that will make the DVD fit on a single-layer (4.7 gb) DVD, even if the original DVD was larger. DVD Shrink comes with an easy to use interface that includes a preview of the selected titles.

Download it from here: dvdshrink32setup.zip

Step 1. Configure the preferences. To do so, press Edit - Preferences.

Step 2. Press Open Disk to get a list of available DVD drives, select the one containing the movie. If you have a collection of .IFO, .BUP and .VOB files on your HD, press the Open Files button, browse and select the folder where your VIDEO_TS directory resides.

Step 3. DVD Shrink will perform a quick analyzation pass over all the video items. Just let it do its job, it won't take very long.

Step 4. You can either keep the entire DVD intact, or you can choose to only keep certain parts of the original DVD (for instance only the main movie, dropping extras and menus). Obviously, keeping the entire DVD, the video has to be compressed more to fit on a single DVD±R disc, but it allows you to keep all the fancy menus. If you want to keep everything, press the Backup! button.
If you prefer to keep only parts of the disc and discarding parts (or all) of the extras, select Re-author instead (technically, when re-authoring you create a new disc from scratch and add whatever you like from the original disc to it). Re-author allows you to create your own DVD by putting only content that you really want on a DVD. It does not allow you to keep the menus though. If you want to entirely remove certain items but keep the menus you have to use program like IfoEdit or commercial transcoders like InstantCopy and DVD95Copy.

Step 5. DVD Shrink can also burn your backup files of DVD, if you have installed the latest version of Nero. If you already possess alternative burning software and prefer to stick with it, then you can still use DVD Shrink. The output from DVD Shrink can be saved as files on your hard drive, which you can then burn with software of your choice. Nero is highly recommended for burning DVDR discs.
 See Also:

 How to play VIDEO_TS.IFO, VIDEO_TS.BUP (ripped DVD) files?

 How do I burn a video_ts (.bup and .ifo) folder to a watchable DVD? How to burn VIDEO_TS to DVD?