I would like to have possibility to use similar visualization as PowerBI provides with Ribbon Chart which is quite close to ordered stacked bar chart with some visualization between different bars (easier to see changes over x-axis than cluster bar charts).
Some links regarding the PowerBI version Create ribbon charts in Power BI (learn.microsoft.com) and Ribbon Chart is the Next Generation of Stacked Column Chart (radacad.com) .
Below is an example using JMP's Failures sample data:
JMP with lines:
JMP stacked bar chart with lines:
JMP stacked area chart:
JMP data split and parallel plot with columns set as Ordinal:
JMP split data with lines:
PowerBI stacked bar chart:
PowerBI ribbon chart with connectors set invisible (ordered stacked bar chart):
PowerBI ribbon chart:
Out of these I prefer Ribbon chart as it clearly shows if ordering has changed in x-axis (it also has quite useful tooltips which shows the change).
I tried to find what name that chart usually has and I came across Bump Chart, area bump chart, alluvial diagram and sankey bump chart. Bump chart and alluvial seem to be quite different but I think they are also visualizations that could have their place JMP's Graph Builder.