There are a few programs available for this.
One that I use is DVD Shrink. (freeware)
It enables you to copy a complete disk, or you can decide which bits to copy, missing out trailers, extras etc. If the film is over 4.7GB and doesn't fit on a blank DVD, it will automatically compress it.
I've been using it for a fair while, and found it very easy to use.
DVD Shrink
Another option is to install DVD Regionfree. This automatically bypasses the region coding on the disk, and will play any region, even if your computer is now region locked.
On the set-up, you can opt to play the whole DVD, or it can start automatically from the beginning of the film, bypassing trailers etc. (so I'm lead to believe. Best check with someone who has this installed)
You have to purchase this program. ($40)
DVD Regionfree