After reading a number of solutions and failed, I have come up with my own solution. I believe there could be many different causes for this problem (such as insufficient harddrive space), but here is what worked for me:
MacBook Pro 10.8.5
"Cannot be saved on this computer" error
Locate the 'backup' folder. Address is: 'Mactintosh HD'/users/"your user name"/library/application support/mobile sync/backup
If you still cannot find it, google iphone backup folder and find it.
Copy all folders inside to somewhere as a 'backup'.
Delete all folders inside the 'backup' folder.
My Mac asks me for an admin password, type it in and hit entre.
Now this folder should be 'writable' for your itunes.
Hit backup bottom on itunes, and a new folder will be created in the 'Backup' folder, which means it worked!
Undo step 1, move all your previous folders back to the 'backup' folder.
The problem seem to be an automatic lockdown in many of our folders. Itunes cannot write into the folder unless we give the password to unlock it first. This is quite annoying sometimes. If I am correct, you do not have to do step 1 and 4, simply do some actions in the 'backup' folder and make the machine ask for your password.
Hope it helps.
You could use the free download app iPhone Contacts + SMS Backup, which has the option to export your iPhone contacts/sms as a csv (Excel) file which can then be printed. It also will backup to a vcf file, which can be imported to another iOS device or mac Address Book.
I have done what each and every one of you guys has suggested and it still won't work! I deleted the backup folder... No go.. Deleted pictures from up to a month before my recent sync... No go...
My last backup as per icloud was 12/7/13 and I'm guessing I have been having problems since then. No matter what I do, I can't get it to back up to iCloud or the computer!!!
My phone is acting up and now I might need a new one and I need to back up my stuff.
Has anybody found something else that works?
I know you mentioned you've tried everything but just to confirm did you run "netsh winsock reset" command after deleting the backup folder? (i.e. if you have a windows pc)
If it still didnt work, I would sugest trying a different computer to back up (work, friends etc) as your phone is acting up.
Or last option would be to back up your contacts, calendar, notes to icloud. You can get the apps and songs from your iTunes account anyways.
I am using an iMac. I have not tried using another computer yet. I have a really old macbook with an older operating system. I wasn't sure if you could perform a backup to another computer.
I did delete everything in the backup folder but to no avail.
Right now, it's my SIM card that is acting up. I have absolutely no service. Before I take my phone in to be fixed, I wanted to back it up just in case. But that has not been able to happen since 12/7 for some reason.
Whats up yall im the one who created this post and nobody had the right answer to help me not even aplle i found out how to fix it myself so The way I had fixed it was by clearing up space on my computer I compressed my whole hard drive and did the back up and uncompressed my hd I can't remember everything but it trying to create the back up on your computer but your computer dosent have enought space. Hope this help.
I had a corrupt .MOV file. Deleting it was ALL I have to do to fix all the backing up errors of my iPhone 4 (iOS 4.2.1*) through iTunes 11.1.3.
ONE EXTRA TIP I can offer:
I also wanted to backup all my iPhone pics into an unencrypted folder so I used Mac OS 10.9 (Mavericks) baked-in 'Image Capture.app'. Just spotlight the .app, open it, plug in your phone, select your device from the left column, select the pics to import to your Mac (or choose Import All) and where to put the files. If you get an error on some .jpg or .mov file(s) THAT is your problem; delete it within your phone. All successfully imported files via 'Image Capture.app' will be denoted by a green-checked bubble icon on each file's thumbnail; you can also varify by using 'Finder.app' to see that there waiting for you in the folder you told 'Image Capture.app' to save them in of coarse.
* Yup, I've been putting up with it being corrupt since Sept. 2011 when I tried to upgrade my iOS 4.2.1 to iOS 5. Apple Geniouses didn't even know why it was doing that.