Sagar Gurnani

Papaya design &amp; marketing

Papaya YouTube Widget is a simple, lightweight plugin that provides you with a widget and a shortcode to include videos from a YouTube channel in your sidebar or on a page, a post or any custom content.
For simplicity’s sake, the design and layout is limited to one main video, followed by a grid.
To use this plugin, you will need a Google API Key and your YouTube Channel’s ID. Short descriptions of how to get these are included in the instructions. If you need more help, please refer to Google’s YouTube’s own documentation.
If you would like to customize the way this plugin works, or add features to it, consider hiring the plugin author.

Papaya YouTube Widget

Simple, lightweight plugin that provides a widget and shortcode to include videos from a YouTube channel in your sidebar or on a page.

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

Papaya YouTube Widget vs Simple Youtube Widget