I'm not sure whether Vimeo's copyright content crawler is as good as youtube, but I suspect it isn't considering it's still got all the episodes of To Catch A Predator on it and youtube only has 2, one of which had to do some stupid video tricks to get through. Vimeo is also supported by Watch2gether, which is a website that lets you create a lobby to watch synchronized youtube videos with other people (they used to let you look at amazon listings as well, until fairly recently, i wish they'd bring that bit back)
I'm not an expert on this sort of stuff, but this is just what I'd try first if I was going to do this myself