They refer to entirely different things. SCIENTISTS have been using the terms correctly for decades, but the general public and the media usually just use them as synonyms.
Global Warming refers to increasing energy levels within the Earth system as a result of rising levels of greenhouse gases.
Climate Change refers to the specific climactic changes which result from those increased energy levels, such as altered weather, precipitation, and wind patterns.
In a simple sense, Global Warming is the cause and Climate Change is the consequence.
The modifier Anthropogenic used to be used to distinguish between natural fluctuations and man-made fluctuations. You don't see it so much anymore because in the scientific community there is very little doubt left that the changes we are seeing are a result of human activities. The people who continue to deny Global Warming and Climate Change do so without a single piece of evidence and without seeming to have any idea at all how the scientific process works. In my experience I have never met one who has ever read a single piece of scientific climate research. I can't figure out why anyone would listen to them. Unfortunately there are a lot of people who are terribly uninformed and they are putting us all in grave peril.