Josh

Add over 50 animated smilies to your visual tinymce editor.
This plugin is designed to be used as an add-on to my Ultimate TinyMCE plugin. However, it can also be used as a stand-alone plugin as well.
For best results; You can download Ultimate TinyMCE here: 
https://wordpress.org/extend/plugins/ultimate-tinymce/
This addon will add a button to your visual tinymce editor for posts/pages. Clicking the button will open a popup window with over 50 professionally animated .gif smiley’s.
You can insert these smiley’s into your post/page content areas. Simply click a smiley, and it is automatically inserted into your content area.
<h3>Features</h3>
<ul>
<li>Includes over 50 professionally created animated smiley’s.</li>
<li>Easily insert them into your posts/pages with a single click.</li>
<li>I may consider making new smilies upon request.</li>
</ul>

Moods Addon for Ultimate TinyMCE

Add over 50 animated smilies to your visual tinymce editor.

Sharon

Implement emojis into your posts and pages. Using CSS, transparent PNGs seamlessly integrate with your favorite theme and color scheme.
This plugin shows emojis by using shortcodes. It will not override the default <a href="https://codex.wordpress.org/Using_Smilies" title="WordPress Smileys" rel="nofollow ugc">Smileys</a>.
How To Use:
<ol>
<li>After activating this plugin, an emoji icon will appear next to your “Add Media” button above the editor window.</li>
<li>Click on that button to display the dropdown list of available emojis.</li>
<li>Click “Add Shortcode”, and the shortcode will automatically be added to your editor window.</li>
</ol>
Alternatively, you can type in your shortcode by hand using this format:
<pre><code>[sce emoji="happy" /]
</code></pre>

Sharon's Shortcode Emojis

Implement emojis into your posts and pages

Moods Addon for Ultimate TinyMCE vs Sharon's Shortcode Emojis