Rupok

Full Font Awesome Icon set for WordPress with extended font icons support. Enables the Font Awesome icon font set within WordPress. Icons can be inserted using either HTML Code, PHP Code or Shortcode. 
More – http://w3xperts.net/awesomepress
Font Awesome gives you scalable vector icons that can instantly be customized size, color, drop shadow, and anything that can be done with the power of CSS.
A full list of the 302 Font Awesome icons is available: http://fortawesome.github.io/Font-Awesome/icons/
To use any of the Font Awesome icons on your WordPress site you have two options:
HTML Option
All code examples on the Font Awesome site apply: <a href="http://fontawesome.io/examples/" rel="nofollow ugc">http://fontawesome.io/examples/</a>
Examples
Home icon
<pre><code>
</code></pre>
Phone icon
<pre><code>
</code></pre>
Mail/Message icon
<pre><code>
</code></pre>
Shortcode Option
You can easily use a shortcode in your posts, pages and even widgets to display a Font Awesome icon.
The shortcode format is <code>[icon name=name-of-icon]</code>, where name=X is the class of the icon you would like to use.
Home icon
<pre><code>[icon name=icon-home]
</code></pre>
Phone icon
<pre><code>[icon name=icon-phone]
</code></pre>
Mail/Message icon
<pre><code>[icon name=icon-envelop]
</code></pre>
Contributors Welcome
<ul>
<li>Submit a <a href="https://github.com/re-enter-rupok/AwesomePress" rel="nofollow ugc">pull request on Github</a></li>
</ul>
Author
<ul>
<li><a href="http://www.rupok.me" rel="nofollow ugc">Nazmul Hasan Rupok</a></li>
</ul>

AwesomePress

Enables the Font Awesome icon font set within WordPress. Icons can be inserted using either HTML or a shortcode.

GhozyLab

This plugin will help you to display vector icon font into post, page or widget easily. There are available more than 2.5k icons that you can choose. You can customize the look like changing color, size, align etc.
<h4>Available Icon Library</h4>
<ul>
<li>Font Awesome ( fontawesome ) : Font Awesome gives you scalable vector icons that can instantly be customized — size, color, drop shadow, and anything that can be done with the power of CSS.</li>
<li>Fontello : This library lets you combine icon webfonts for your own web project.</li>
<li>IcoMoon : IcoMoon is striving to build and provide the best iconography and icon management tool for perfectionists. IcoMoon icon library features only the very best icon sets out there.</li>
<li>Open Iconic : Open Iconic is the open source sibling of Iconic. It is a hyper-legible collection of 223 icons with a tiny footprint—ready to use with Bootstrap.</li>
<li>WordPress Dashicons : Dashicons is the official icon font of the WordPress admin as of 3.8.</li>
<li>Google Material Fonts : Material icons are beautifully crafted, delightful, and easy to use in your web.</li>
<li>JustVector Social Icons : These 150 monochrome social icons are designed with simplicity in mind. Provided in vector format, they are fully editable and scale to any size smoothly.</li>
<li>Payment Fonts : PaymentFont was originally made for WooCommerce Payment Methods Plugin for WordPress and WooCommerce.</li>
</ul>
<h3>Recommended Plugins</h3>
The following are other recommended plugins by the author:
<ul>
<li><a href="https://wordpress.org/plugins/easy-media-gallery/" title="gallery plugin" rel="ugc">Best Gallery Plugin</a> – Easy Media Gallery is a wordpress plugin designed to display various media support including grid gallery, galleries, photo album, multiple photo albums, portfolio, photo gallery or image gallery.</li>
<li><a href="https://wordpress.org/plugins/image-slider-widget/" title="slider plugin" rel="ugc">Best Image Slider Plugin</a> – Easy Image Slider Widget – Displaying your image as slider in widget/sidebar area with very easy. Allows you to customize it to looking exactly what you want.</li>
<li><a href="https://wordpress.org/plugins/contact-form-lite/" title="Contact Form" rel="ugc">Best Contact Form Plugin</a> – The Best Contact Form Plugin to create awesome Contact Form in minutes.</li>
<li><a href="https://wordpress.org/plugins/feed-instagram-lite/" title="Instagram" rel="ugc">Instagram Plugin</a> – Instagram Plugin – Display your Instagram media as masonry gallery in WordPress site with very easily.</li>
<li><a href="https://wordpress.org/plugins/easy-notify-lite/" title="optin form plugin" rel="ugc">Best Popup Plugin</a> – The Best Notify and Subscription Form Plugin to display notify popup, announcement and subscribe form with very ease, fancy and elegant.</li>
<li><a href="https://wordpress.org/plugins/image-carousel/" title="image carousel" rel="ugc">Best Image Carousel</a> – Touch enabled WordPress plugin that lets you create a beautiful responsive image carousel.</li>
<li><a href="https://wordpress.org/plugins/gallery-lightbox-slider/" title="Gallery Lightbox" rel="ugc">Best Gallery Lightbox</a> – Gallery Lightbox – Displays all gallery images into the lightbox slider in just a few seconds.</li>
</ul>

Web Icons

Web Icons plugin gives you scalable vector icons that can instantly be customized. More than 2.5k icons available.

AwesomePress vs Web Icons