Ryan Burnette

There are a lot of plugins that allow users to embed videos using a shortcode. 
Now there’s one more out there.
Video Embeds currently supports YouTube and Vimeo.
Video Embeds allows for control over many of YouTube’s embed paramaters and 
all of Vimeo’s embed parameters. Set default values for all available options 
on the settings page.
Add FitVids.js to your site with the click of a button.
And a few other things too.

Video Embeds

Just another plugin that creates shortcodes for embedding videos in posts.

Dustin Lammiman

This plugin takes advantage of WordPress’ built in <a href="https://codex.wordpress.org/Embeds" rel="nofollow ugc">oEmbed functionality</a> to make it easy to insert responsive videos into your site or blog. Just copy the URL of the video you want to embed and paste it into the WordPress editor. This plugin will maintain the default aspect ratio of the video at any page size.
This plugin has been tested as working with the following video sites:
<ul>
<li>
YouTube
</li>
<li>
Vimeo
</li>
<li>
blip.tv
</li>
<li>
Flickr (videos)
</li>
<li>
DailyMotion
</li>
<li>
Hulu
</li>
<li>
WordPress.tv
</li>
<li>
FunnyOrDie.com (WordPress 3.0+)
</li>
<li>
Revision3
</li>
</ul>
View the source <a href="https://github.com/nosecreek/Responsive-Video-for-WordPress" rel="nofollow ugc">on GitHub</a>.

Responsive Video for WordPress

Using a responsive WordPress theme? Make your videos responsive too! Just activate this plugin, and your videos will be instantly responsive!

Video Embeds vs Responsive Video for WordPress