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Look at the pictures - Does this type of hierarchical list or table, where you start reading it from the left and the data become more and more narrow, have a common name?

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There's no hierarchy in those diagrams.

Hierarchy or Visual Hierarchy is the order of the elements in the way that human eye perceives them or all the elements ranked in order of priority.

  • Vertical arrangements: elements are sorted in order of rank, from largest to smallest, highest to lowest, and so on.
  • Linear hierarchy: there is for each element a superior and a subordinate element, and the rank order results in a continuous sequence

The images at the question are a Classification Chart displayed as a table and a Table of contents.

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    I totally agree that they are not examples of visual hierarchy. But the information inside the table/list is in a hierarchical order. The listed articles in the table of content, for example, is divided into sections. Oh, well.
    – Tony Bolero
    Jan 13, 2019 at 19:30
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    @TonyBolero - actually, I think Danielillo is spot on here. These two tables aren't the same, and his suggestions for common names for them are perfect, in my opinion.
    – Billy Kerr
    Jan 14, 2019 at 14:37

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