If you take the sample provided and select the field "X" from the Columns and then select "Show Header" from the drop down menu. You will notice that this is how the the sunburst chart is being created.. whoever produced this thought carefully about creating this non traditional Tableau view and added in data fields to accommodate the building of the view. Comparing this data to your own sample data (thank you very much), you will see that similar fields do not exist.
It might help to credit the author of the example here and then see via the mention capability of the community if that person might provide more instructions for creating a sunburst from your data.
I also wanted to point out that the example provided does NOT have overlapping pie slices.. Each slice is unique and sized according to the value Avg(Box Office (Mojo))
I looked it up on Public though and see it was created by Adam McCann. Maybe Adam will jump in here with a few thoughts and help on how others can build such an amazing advanced viz.