I give no guarantee of appropriateness of my site for any age, but in general, all the videos found here can exist on YouTube.
There is no porn on the site. Some content can be considered risqué, but there is nothing with an explicit sexual intent or similar. (example)
As for gore, there might be some small amount of it very rarely, but nothing very serious. (example)
With all this said, if you are embedding a random video from the site in your own site, I can't recommend it if it's meant for anything professional, or for kids. If you're still unsure, play a few videos from the site and determine whether it's appropriate for yourself.