Almalerik

This plugin actually support embed of public Youtube video and video playlist adding a simple button in Tinymce that generate or edit shortcode.
Video playlist can be publish with 4 responsive templates:
<ul>
<li>Only video iframe</li>
<li>Iframe with all thumbnails videos in columns</li>
<li>Iframe with a swipe and draggable carousel thumbnails videos</li>
<li>Swipe and draggable carousel slider</li>
</ul>
For Youtube video, the plugin use Google API version 3.
Upcoming developments will support other video sources like Vimeo.

Simple Video Embed

A simple plugin to embed responsive video and video playlist to posts or articles with nice features.

ilGhera

JW Player for WordPress enables you to publish videos on your WordPress posts and pages using the most popular video player on the web. Take complete control of your player, from branding to size and dimensions. Allow users share and embed your videos from your WordPress pages & posts.
Free Features (NEW!):
<ul>
<li>Connect to the JW Player Dashboard using your API v2 credentials</li>
<li>Select and publish videos hosted on JW Player</li>
<li>Select and publish playlist hosted on JW Player</li>
<li>Support shortcodes like [jwplayer fPHnET5D]</li>
</ul>
Cloud
<ul>
<li>Register a JW Player account at https://www.jwplayer.com/pricing/</li>
<li>Once you’re logged in, copy your Cloud Hosted Player Libraries from https://dashboard.jwplayer.com/#/players/downloads</li>
<li>Paste your library url to the plugin options page.</li>
</ul>
Self hosted
<ul>
<li>https://www.jwplayer.com/pricing/</li>
<li>Once you’re logged in, download the player and copy your License key from https://dashboard.jwplayer.com/#/players/downloads</li>
<li>Upload the folder to your site</li>
<li>Add the full url of jwplayer.js in the plugin options page (ex. https://example.com/FOLDER-UPLOADED/jwplayer.js)</li>
<li>Paste your License Key to the admin page of the plugin.</li>
</ul>
After that, set your general preferences, choose the post types where you want to add videos and start to add content using the JW Player for WordPress box that you’ll find there. Just add the url of your self-hosted video or select cloud-hosted content from n your JW Player Dashboard.
That’s it, you’re ready to go!

JW Player for WordPress

JW Player for WordPress enables you to publish videos on your WordPress posts and pages using the most popular video player on the web.

Simple Video Embed vs JW Player for WordPress