The process is quite complex (at least the way I do it) but it can be done!
Note: YOU NEED LINUX FOR THIS (or if you're brave you can mess with the tools on this site:
http://www.chrysocome.net/download. success is not guaranteed. Still post about your experiences though

)
Note: Steps 1 to 3 are not always necessary, it depends on which Android build you are using.
1) Give Root Explorer (or a similar file explorer app - must be able to access system/data files) root access
2) Locate the folders containing the user data you want to backup, this is usually somewhere near /data/data. The folders have various naming conventions and dont always contain the name of the app (i'll check and edit this post if i have time)
3) Change the folder's permission settings - I usually just permit everything
4) Shut down Android and in one way or another, mount your sd card on your Linux machine, and locate your data.img or userdata.img file.
5) Open a command line window, enter the following:
Code:
sudo mount -o loop data.img /mnt/data
Note: you might need to create the folder you are mounting too
Note: sudo not always neccesary
Note: change data.img to userdata.img, you'll know if this applies to you
6) Browse to the folder containing the data you want to backup and copy it onto your computer. DONE!
You can restore these backups on a different build by using the same method, just in reverse. Also, don't forget to check if the same folder already exists, if yes, it can be extremely annoying to find you dont have permission to change/overwrite it!
I used this to copy all of my saved games, i especially didn't want to loose my Asphalt 5 progress
P.S. if this solves your problem, please change the title of this thread to simplify things for other users