I have used dvd shrink with no problems.
For my setup,I have H: loaded in my $HOME/.wine/config as my home directory, and I have a directory under my home called dvds.
Example:
I have a directory containing a movie I want to backup in $HOME/dvds/movie_to_backup, then I invoke dvd shrink as follows,
wine ./DVD\ Shrink\ 3.1.exe "H:\\dvds\m*"
(because I'm lazy). It works fine. In fact, it works so well (working programs are boring), I'm now going to play with dvdbackup -
http://james.nontrivial.org/projdvd.htm
My wine config for H: is
[Drive H]
"Type" = "hd"
"Path" = "/home/ianc"
"Label" = "Home"
"FS" = "win95"
Hope this helps.
Cheers,
Ian.