Many people want to share their videos on their own website that have been uploaded to YouTube. A great idea considering that YouTube doesn't charge for hosting videos. (At least not yet) But often when you embed a video you get a whole list of suggested videos at the end once your video is finished playing. Now who wants to send a website visitor to another website after doing so much to get them there in the first place.
In this video you can see how to turn off the suggested video feature when you embed a YouTube video on your website or blog. This example shows embedding in a WordPress website.