whaze

Whaze Term Order for Posts lets you enable per-post custom ordering of taxonomy terms directly from the Gutenberg editor sidebar. Configure which post types and taxonomies are managed via the admin settings page, or register them programmatically in code.
Admin settings page:
Go to Settings → Term Order for Posts to enable term ordering for any post type / taxonomy combination — no code required.
For developers (optional):
Register a post type / taxonomy combination programmatically:
<pre><code>add_action( 'init', function () {
 whaze_term_order_for_posts_register( 'post', 'category' );
 whaze_term_order_for_posts_register( 'movie', 'genre' );
} );
</code></pre>
Retrieve ordered terms in templates or REST:
<pre><code>$terms = whaze_term_order_for_posts_get_terms( get_the_ID(), 'category' );
</code></pre>
Features:
<ul>
<li>Settings page to configure post type / taxonomy pairs — no code needed.</li>
<li>Opt-in auto-apply: custom order applied automatically to native blocks, classic theme functions, and any code using <code>get_the_terms()</code> — no template changes required.</li>
<li>Drag-and-drop reordering panel in the block editor sidebar.</li>
<li>Order saved automatically with the post — no separate AJAX call.</li>
<li>Falls back to default WordPress term order when no custom order is set.</li>
<li>Unused order entries are cleaned up automatically when terms are removed.</li>
<li>REST API field <code>term_order</code> for headless use cases.</li>
<li>Fully translatable (i18n-ready).</li>
</ul>

Whaze Term Order for Posts

Order taxonomy terms individually per post, directly from the Gutenberg editor sidebar.

LuckyWP

The plugin replaces plain-text editor for category, tag and custom taxonomy term description with the built-in WordPress WYSIWYG editor (TinyMCE). This is allow you to insert images, use shortcodes, embed videos, audio and other content into term description.
<h4>Features</h4>
<ul>
<li>Edit category and tag description with built-in WordPress WYSIWYG editor (TinyMCE).</li>
<li>Work in add and edit term forms.</li>
<li>Support WooCommerce category and tag description.</li>
<li>Support custom taxonomy term description.</li>
</ul>

LuckyWP Term Description Rich Text

Thanks to the author for the work. I already use on two sites

Very useful plugin

Replaces plain-text editor for category, tag and custom taxonomy term description with the built-in WordPress WYSIWYG editor (TinyMCE).

Whaze Term Order for Posts vs LuckyWP Term Description Rich Text