Restore data files from system backup

three months ago I did a system backup on a dell computer to CDs.  Its' dead and I want to restore the data files to a new computer.  I believe that it wants to restore the system files, overriding the operation system on the new computer.  How can I get just the data files off the backup.  The recovery points are stored on the CDs and I go though the prompts of inserting disk after disk when asked.  I seem to be in a comtinuous cycle of inserting disks 1,5,6 (last).  I'm up to 20 times on each disk.  Obviously the store program is look for "something" that it can't find. 

 

Any suggestions?