UjW0L

This plugin lets you to display Youtube widget on sidebar with the themes that supports sidebar and Footer
It displays video and playlist of your choice with video id and playlist id. 
It also lets you display all videos from you youtube channel with option to navigate to next nd previous button. 
No google API key needed. Uses Youtube rss feed.
You have choice between single video , playlist and channel.
Note:

Simple Youtube Widget

Plugin that provides users option to display Youtube Widget on the Sidebar or Footer

northify

VidLive allows you to embed your Facebook and YouTube Live videos onto your website automatically. No more updating your live embed code every time you go live. Just embed your VidLive widget once, and you are done.
Now you can use the official VidLive WordPress plugin to connect to your VidLive account and make it even easier to place your Facebook and YouTube Live videos just where you want them. Once connected, your widgets will be assigned a WordPress short code that can be placed almost anywhere on your website. If you don’t already have a VidLive account, go to VidLive.co to register.
If you don’t already have a VidLive account, go to <a href="https://www.vidlive.co" rel="nofollow ugc">VidLive.co</a> to register.

VidLive

Easily add your VidLive widgets in WordPress. VidLive is the easiest way to automatically stream “Currently Live" Facebook or YouTube video from  …

Simple Youtube Widget vs VidLive