If seeing the results of your camera shot immediately is the most important advantage of digital over film photography, then seeing the image in live view to make adjustments in difficult lighting is the second most important. What I mean is that you can see what you are going to get before you capture it. This is very valuable in many instances. For instance, when the sky is dimming and dusk approaches it is very helpful to use live view.

To get this shot I turned on live view on my DSLR and moved the camera around to get the lighting I liked. When I saw what I wanted took the picture. This is much much harder using film. Normally what you do is bracket around and hope that you get some usable-great shots. Most of the time you will, but digital works a lot better.
Cell phones offer great live views to get sunset or sunrise pictures. But DSLR camera’s normally give a better result. If you are shopping for a new camera make sure it has a good back screen or an electronic viewfinder. I personally prefer an optical viewfinder combined with a good back screen, but I can understand that an EVF has it’s advantages too. I know of at least one camera that can switch the viewfinder from optical to electronic. That would be ideal depending on how well it works.