During one of my marathoning of one of the ST shows a couple years ago, it occurred to me that the regular cast were more static in general that I had previously thought. It was that idea that the senior staff of the Enterprise don't seem to move on in their career for the longest time, and only seem to grow at such a slow pace, if at all. Just an impression, though. But it made me suddenly start to view individual episodes as having more of an anthology quality to them than I ever had before. The regular crew arrive somewhere and have a job to do, and most of the time doesn't have a lasting impact (that we can see very clearly!). I started to view the episodes from the standpoint that the story was really about the new location, situation, and the new characters that are part of each episode's scenario.
I used to read ST books, with an impatience about "When do I get to the parts of the book with Kirk and Spock?!" It's a question and anxiety from younger days. As Christopher says, the best open scene is the one that grabs the audience or readers. It's interesting to read that the Captain's log is being down played, but it's not that big of a deal if the book is really good. I used to be preoccupied with why Star Wars novels didn't have an opening crawl, to really get into it. After all these years of not having that, the newer books are using them, and it feels flashy, gimmicky.
The point about waiting for characters to walk to the plot is well taken, nowadays I really like the approach of some of those episodes that start off with us watching a landing party beaming down onto the planet, with a expositional Log Entry...the audience can multitask, collecting and processing the visual environment, and putting it together with the verbal information giving us background; and all of a sudden the audience and characters are right there in the middle of the story. And since reading a book is much more time consuming and more work on the reader in general, it makes getting to the point of the story faster more critical.