I have looked into one of my backup file and written a script to replicate what the backup process copies, hopefully this will be good enough for you. Somethings will not get copied as they have a colon in their paths and colons don't work with fat file systems, these are mainly bookmark images, so the least of your worries.

Download the attached file, if you need the contents of your MyDocs directory, and you have enough room on your SD card, use the mydocs version (this will save you from having to edit the file and introducing windows newline characters, which linux doesn't like), rename without the .txt extension.

Copy the file into the root directory of your SD card, put the SD card back into your phone. Power up the phone and wait until you are sure it has fully booted up (give it time), next press Ctrl+Shift+X to open XTerminal, let it open as it can take a few seconds.

Next type:
depending on the version you are using. The phone should buzz once to let you know you got things right, once it has finished it will buzz twice, assuming you havn't broken the vibrator as well.

You will end up with (hopefully) a directory called backup and an error file which has a log of all the files that couldn't be copied.

Good luck