I recently got two take-down requests for two videos I put up on YouTube. They were both trade-show demo reel videos that I helped produce showing post-produced results in television shows and movies from software I wrote. These videos were 20 years old, but I thought it would be good to preserve them.
Paramount wanted one taken down for a 2-second clip from a Paramount movie. Someone else wanted the other taken down because I guess they owned the copyright on the music we had bought to accompany the video.
One could argue that putting these videos up was entirely fair use but I didn't argue at all and just yanked them. Not worth it.