“Composium – Visual Composer Extensions” makes it very easy to show a YouTube video on your site. You can show the video in a lightbox or embed it directly. You can trigger the lightbox from a variety of elements and if selected, the plugin will even attempt to retrieve the cover iamge for your video from YouTube directly.
YouTube Direct Embed with Cover + Modest Branding
The following videos are directly embedded into the site via iFrame, but have an image overlay placed on top of it. The overlay will automatically be removed when clicking on or hovering over it. Optionally, a short text string can be added as well. Can be used for single video and playlist iFrame embeds alike.