A question about app data and backups

If you are backing up to iCloud, you can select which apps to backup data and which not. If you are backing up to your computer through iTunes, then I don't think there's a way to do that.

 

I think they simply don't.

Regarding iCloud all they have is the ability to enable iCloud Sync (Documents & Data sync between devices, like in the iOS 5 Apple Commercials with iWork Suite).

Like Night Spring said, if you backup to iCloud you can select which data to backup, in which case you'd exclude the video apps and whatnot.

If you also sync with iCloud the app data & documents you can also select which ones not to sync (and only the apps with this new sync enabled show up there, probably in the future most of the currently updated ones will).

With iTunes, I haven't seen that option.
The only way, and is a pain in the ass (but it's a solution anyway!) would be, if jailbroken, to rename the app "Documents" folder to something like "Documents_Old" and then back up.
Since iOS I don't think has a crontab you could always run a job on OS X and have it SSH and rename the folders, backup with iTunes (you'd have to kinda be tidy with the timing) then another job to SSH and rename them back to "Documents".
Obviously, this last one is the NASA solution.

 

They are restored, but will have no data.