Seriously, what's the difference? Aren't they both diety? What's the reason for Coke to make two sodas that basically do the same thing, which is to "help" you with your diet?
I greatly appreciate the effort to create so many new threads, but I think this one could have fit quite nicely as a post in the Random Questions thread.
But since I was able to find the basic answers to your questions in the first result of my Google search for "difference between Diet Coke and Coke Zero", I'll just give you the answers via link. Here is what the Huffington post said in 2012.