Srizon Facebook Video Gallery (srizon-facebook-video-gallery) free WordPress plugin

This plugin is possibly the best way to show your facebook videos on your WordPress site.
You can embed a single video with the editor button or you can insert a video gallery.
Gallery can be created from the new admin menu that the plugin creates.
A gallery is a collection of videos that can be created from the uploads of a Facebook Page or a Facebook Profile.
Also it can be created from a playlist (can be created under the Video tab of a Facebook Page).
Playlist is the best option since it allows you to choose individual videos.

Demo: http://wp1.srizon.com/fb-video-gallery-demo/