Dominik Schwind

Enables a widget with the category description. This is useful if the theme you are using is not showing 
this information.
Works on tags and other taxonomies as well.

Category Description Widget

Enables a widget with the category description.

Erick Hitter

Creates lists of non-hierarchical taxonomies (such as <code>post tags</code>) as an alternative to term (tag) clouds. Multiple widgets can be used, each with its own set of options.
Numerous formatting options are provided, including maximum numbers of terms, term order, truncating of term names, and more. List styles are fully customizable, with built-in support for bulleted lists and numbered lists.
Using the <code>taxonomy_list_widget</code> function, users can generate lists for use outside of the included widget.
Only use version 1.2 or higher with WordPress 4.2 and later releases. WordPress 4.2 changed how taxonomy information is stored in the database, which directly impacts this plugin’s include/exclude term functionality.
This plugin was formerly known as the <code>Tag List Widget</code>. It was completely rewritten for version 1.0.

Taxonomy List Widget

Creates a list (bulleted, number, or custom) of non-hierarchical taxonomies as an alternative to the term (tag) cloud. Formerly known as Tag List Widg …

Category Description Widget vs Taxonomy List Widget