I have used Carbonite, a program for backing up files on their internet server. You can specify specific files, folders, or a combination of folder and wildcards, e.g., c:\Word\Docs\ *.doc for all documents in the C:\Word\Docs folder.
The difference is where the files are located. With WinRescue and other file backup programs, the files are stored where you send them, e.g., your hard disk, another hard disk in your system, a CD or DVD, or a portable USB drive. With Carbonite, the files are 'in the cloud' on the Carbonite site. There is a fee for the service (sometimes after an initial free tryout).
Carbonite installs a program to monitor your files and to copy new ones in the background.
I must say I have not had to use the Carbonite to recover files, but only because I am careful to back up my critical files daily. I see Carbonite as disaster insurance, in case my computer and backup copies become available, e.g. a fire. Keeping a backup copy in a separate location would serve that purpose, but it is not likely I will be as careful to keep my 'field backup' up to date since I would have to carry media back and forth.