I had seen most of these already but they're great to see again.

Those bloopers are great. I haven't seen them in a long time. I have them on VHS along with the TNG ones. I'm sure they are available on dvd by now.

There may not be any surviving footage of it, but one time Spock was in the captain's chair giving orders when Adam Nimoy, about 10 years old at the time, in vulcan makeup, walked right into the scene to say hi to his father. As an adult, he directed two episodes of TNG, among various shows, and even directed his father in an episode of Twilight Zone.