Open your registry editor and navigate to the following key:
HKEY_USERS\S-1-5-21-1343024091-507921405-725345543-1003\Software\Microsoft\Windows NT\CurrentVersion\Windows Messaging Subsystem\Profiles\Outlook
Export the entire Outlook key to a file. You've now backed up your email accounts. To restore the backup to another computer, simply import the backup into the new computer's registry. You may need to delete the Outlook key off the new computer first.