9ete

This plugin creates a widget area (placed right after the opening body tag), a social media icon widget (with link information and URLs), and a dashboard admin section to configure the style and other options (including top/left position, background, rounded corners, opacity, flat icons, open links in new tabs, and more).
A user can enter their social media profile URL’s into the widget and have a link to them displayed with the sites favicon and or font awesome’d logo.
Now using font awesome!

LowerMedia WP Social

WordPress plugin that, when activated, creates a new widget area and new text widget for social media profiles.

Freemius

Daniyal Ahmed (a11n)

Fuse Social Floating Sidebar allow you to insert social media links very easily, you can show social media icons as floating on the website. This plugin provides very attractive interface which allows you to make settings for those social media icons, in the means of :
<ul>
<li>Type of icons round and square</li>
<li> Animated Rotation Effect in Icons.</li>
<li>Shadow in icons.</li>
<li>Different size of social icons.</li>
</ul>
You can check live demo with all features as well : 
Fuse Social <a href="https://www.fusefloat.com/demo/" title="Fuse Social Floating" rel="nofollow ugc">Demo</a>
Control Visibility on Scroll
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<blockquote>
This new feature allows you to show the social icons when a user scrolls on the page. It helps to prevent displaying social icons on the main hero section of the page, and when the user scrolls, these social icons pop up.
</blockquote>
Action Button Feature
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<blockquote>
Now, you can display social icons under the action button, so you need to click on the action button to view the social icon
</blockquote>
Sticky Social Icons
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<blockquote>
Floating social icons with custom colors allow you to match the design icons according to your site.
</blockquote>

Pro Version
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Fuse Pro allow you to add custom icons, and give you more control on the social icon visiblity and analytics as well. Pro version includes following features as well.
<ul>
<li>Upload icon as image or select from icons library.</li>
<li> Conditional settings, allow you to remove the social sidebar from specific pages.</li>
<li>Analytics feature provides you interface so you can view which social icon is getting more clicks.</li>
<li>Allow you to re-arrange the icons. </li>
<li>Change vertical position of the icons.</li>
<li>Get access to more icon designs.</li>
<li>24/7 Lifetime support and updates with unlimited websites.</li>
<li>and much much more!</li>
</ul>
<a href="https://www.fusefloat.com" title="Fuse Social Floating" rel="nofollow ugc">Get Pro Version Now</a>
Use coupon code WPORG20 to get 20% discount. 
 
<iframe loading="lazy" class="youtube-player" width="750" height="422" src="https://www.youtube.com/embed/fBC0SL5Ieig?version=3&rel=1&showsearch=0&showinfo=1&iv_load_policy=1&fs=1&hl=en-US&autohide=2&wmode=transparent" allowfullscreen="true" style="border:0;" sandbox="allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox"></iframe> 
It’s simple, unique, and the best WordPress plugin for floating social icons. 
Fuse Social Floating Sidebar allows you to add the following social icons to your website 
* Facebook 
* Threads (New) 
* X (New) 
* RSS 
* YouTube 
* LinkedIn 
* Flickr 
* Pinterest 
* StumbleUpon 
* Google Plus 
* Instagram 
* Tumblr 
* Vine 
* SoundCloud 
* VK 
* Reddit 
* Stack OverFlow 
* Behance 
* Github 
and many more..

Fuse Social Floating Sidebar

This plugin allows you to add social media floating sidebar icons connected with your social media profiles.

LowerMedia WP Social vs Fuse Social Floating Sidebar