I've backed up my entire DVD collection - around 200 DVDs - using MacTheRipper to rip the movies, and Popcorn to burn them. Any that Popcorn refuses to accept I simply recompress in DVD2OneX and then burn with Popcorn. All of these play fine on my iMac and on my Toshiba DVD player.
If you're running into trouble, you might want to start breaking the process down into baby steps. Use MacTheRipper to rip the original DVD, then open the created Video_TS folder in DVD Player's File --> Open and play it from there, make sure its OK. At each step along the process, check the movie still plays, so you can find out where the problem is.
To burn a DVD video you'll need to use a DVD burning program like Popcorn, Toast, etc...