Jorijn

This plug-in is different than other because it requires no pasting of special URL’s or remembering embed codes. The first step is to fill in your own (or someone else’s) YouTube username in the settings page. After this you can select any of your uploaded videos in the included widget.

Rather Simple YouTube

A rather simple YouTube plug-in that allows the administrator to fill in a YouTube user and select a video to embed into 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

Rather Simple YouTube vs Simple Youtube Widget