bogdanding

Simple plugin with a great design !
Integrate your Facebook and Twitter profiles whit a few easy steps.
No JavaScript is used, no tricks.
Small footprint on page when is not hovered(active). On mouse hover it will expand revealing the buttons for FB and Twitter.
This plugin is pure CSS and makes use of only 1 image of 2KB. The CSS is minified so it`s almost 1.2KB. All in all it is a lighweight plugin.
Configuration panel can be found in Dashboard, under the Settings Tab, Zen StickySocial.
Easy 2 input setup, username for Facebook and Twitter .
Plase note, it requires just the username. Example: http://www.facebook.com/username
<h3>0.2</h3>
*added icons
<h3>0.3</h3>
*bug fix not showing icons properly

Zen Sticky Social

Facebook and Twitter sticky buttons on bottom left side of page. Simple and nice design.

ScriptsTown

Social Icons Sticky plugin adds social media sharing icons to your WordPress website. The plugin adds social share icons to posts or pages of your WordPress site and allows visitors to share the content of a post or page on various social media sites. It automatically picks the featured image, post title, and meta description of the page for sharing it depending on the social media platform.
You can choose which social icons to enable for the sticky or content area. It supports multiple icon placement positions. It includes quick options to place social icons before and after the page/post content. Also, you can place sticky icons on the right or left side of your WordPress site.
Social sharing icons are a crucial aspect of WordPress website design, SEO, and functionality. Having social sharing icons allows users to easily share content from your website on their own social media profiles. The content can also include links back to your WordPress site. This can result in increased website traffic, interaction, and, ultimately, brand awareness.
Furthermore, including social sharing icons on your website can help to improve your search engine optimization, visibility, and reach of your website, as well as your online presence and reputation.
<h3>Social Icons Sticky Features</h3>
<ul>
<li><a href="https://scriptstown.com/wordpress-plugins/share-social-media/" rel="nofollow ugc">Social Icons Sticky Features</a></li>
<li>Social Icons to Page or Post</li>
<li>Place Icons Before or After Content</li>
<li>Sticky Social Share Icons</li>
<li>Popular Social Media Icons</li>
<li>Customize Social Sharing Icons</li>
<li>Multiple Icons Placements</li>
<li>Icons Design Settings</li>
</ul>

Social Icons Sticky

Add social sharing icons to a post or page of your WordPress website and allow visitors to share your content on various social media sites.

Zen Sticky Social vs Social Icons Sticky