theMikeD

Once activated, this plugin enables you to upload and display an image for your taxonomy terms. Think of it as featured images for terms. It works with categories, tags, and custom taxonomies.
The plugin uses the term meta functionality built into WordPress to store the taxonomy image ID.
Note: this plugin is designed for use with the Genesis theme framework version 2 or greater, and will not work without it.
<h3>Upgrading from a previous version</h3>
Use the upgrade link in the Dashboard (Dashboard > Updates) to upgrade this plugin.
<h3>License and Disclaimer</h3>
This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License 2 as published by 
the Free Software Foundation.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
The license for this software can be found here: <a href="http://www.gnu.org/licenses/gpl-2.0.html" rel="nofollow ugc">http://www.gnu.org/licenses/gpl-2.0.html</a>
Thanks!This plugin is designed for use with the Genesis theme framework version 2 or greater, and will not work without it.
Having said that, the actual image ID is saved using standard WordPress term taxonomy tools, so even if you eventually disable this plugin, your images will still be linked to your terms. See the <a href="https://www.codenamemiked.com/plugins/genesis-taxonomy-images/genesis-taxonomy-images-user-guide/" rel="nofollow ugc">User Guide</a> for more on this.
THis plugin is based upon the work of

Genesis Taxonomy Images

Evan Herman

Tracy Levesque

yikesitskevin

karmadharma

Order all of the taxonomy terms on your site with a simple to use, intuitive drag and drop interface. The plugin works for WordPress core taxonomies — Categories and Tags — and any custom taxonomies you have created.
Activate the plugin, enable your taxonomy on the settings page, and drag and drop the taxonomies into the desired position. It couldn’t be easier.
On the front end of the site your taxonomy terms will display in the order set in the dashboard.
Requires WordPress 4.4 or later due to the use of the term meta. 
Query Usage
<ul>
<li>If you’re trying to query for taxonomy terms (e.g. using <code>WP_Query</code> or functions like <code>get_terms()</code>), and you’d like them to be returned in the order specified by the plugin, you need to add the tax_position parameter in your call. For example: <code>'meta_key' => 'tax_position'</code> and <code>'orderby' => 'tax_position'</code>. Thanks to @certainlyakey on GitHub for pointing this out.</li>
</ul>

Simple Taxonomy Ordering

I think this is the easiest/best custom Taxonomy order plugin, as it keeps it within the same WordPress admin screen, does not create its own page. 

Simple

Works like a charm - use it

The best drag&drop ordering of terms so far.

Thanks so much!!

Quickly and easily reorder taxonomy terms with an easy to use and intuitive drag and drop interface.

Genesis Taxonomy Images vs Simple Taxonomy Ordering