Bruno,
eye-fi does that, but wireless, so no box involved.
Well mostly, it does not delete files.
In our case, photos are copied to local desktop, (if on home wireless, if not will do later) and Picasa (hidden by default),it can copy to other photo sites. From the desktop they could be backed to crashplan etc.
The camera does need to be on for an upload to occur, but if you have a load to do you can put the SD card into the USB reader and it will copy automatically from there.
edit
Endless. Get the only card that can free-up space for you after pictures are safely delivered. Never worry about running out of space again.