I like Pete's idea that connected appliances need to do less rather than more. This concept is frictionless but in my mind doesn't go far enough. I would like my technology to help me a step further in terms of ordering or meal ideas.
Jon, agreed. However, I wouldn't want that to be part of the fridge as not all my food items are stored in it. You could however use multiple units and add them to all your cupboards and then aggregate all of that into a tablet app that can do meal ideas.
Also, Red Tomato Pizza (in Dubai) has a fridge magnet button that lets you order pizza (it's configured with address, and payment options).