Johan Jonk Stenström

This plugin adds a youtube video and a list of thumbnails of your choice. The thumbnails are clickable and replaces the youtube video without reloading the page. The interface is fully customizable from the css.
All you have to do to add a list to your post is to add a line like this: 
[myyoutubeplaylist LO3n67BQvh0, WGOohBytKTU, iwY5o2fsG7Y, PyKNxUThW4E, 1cX4t5-YpHQ, SJ183htYl-8, eWwoHPrrJYY, bja2ttzGOFM]
The id’s like “LO3n67BQvh0” for instace is youtube-clip id’s. LO3n67BQvh0 is the clip found at http://www.youtube.com/watch?v=LO3n67BQvh0, so to show a youtube-clip simply take part of the url after “v=”. Then simply add more id’s separated by “, “.
Responsive plugin is responsive so it will work on all themes and screensizes!

My Youtube Playlist

Custom playlist from youtube with thumbnails, loads youtube clips without reloading your page. Example: [myyoutubeplaylist WnY59mDJ1gg, bKwQ_zeRwEs]

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

My Youtube Playlist vs Simple Youtube Widget