I've been noticing something strange with how a 60fps video looks, and it's that every <1 second, the previous frame flashes very briefly, and it breaks smoothness of the video.
Here's an example of a spinning starburst background that I posted on YouTube.
In 720p60 quality, watch very closely, and you'll see that the thing doesn't rotate 100% smoothly. It's like if two frames were being swapped around or something.