A shuttle craft crew gets stranded on a hostile planet, and they must find a way to lift off again while dangerous creatures lay siege. Meanwhile, Kirk races desperately against the clock to find them before he is forced to abandon the search to pursue a priority mission.
On the plus side, "The Galileo Seven" is a superbly tense, suspenseful episode, including excellent character development of coolly logical, emotionally remote Mr. Spock. His conflict with his human shipmates is solid, thought-provoking drama. The secondary guest characters of Boma, Gaetano, and Farris all work very well: they are good examples of efficient characterization with little screen time. The creatures are genuinely menacing and scary, all the more so because the filmmakers wisely keep the viewer from seeing too much of them. And the death of Mr. Latimer is an excellent stakes-raising jolt.
On the downside, the exposition and denouement just stink. The exposition is plain awkward: there is a plague to go deal with on some planet but coincidentally they stop to send a shuttle craft to look at a space anomaly, and the shuttle crew just happens to include the doctor, engineer, and some expendable secondary characters? Too contrived. But the denouement is even worse: after a tension-filled, engrossing near-hour of drama, they wrap it up with a lame humor scene where the ship's captain publicly embarrasses the guy who just pulled his comrades through a horrible experience. A quiet, introspective scene where Spock acknowledges to his friends that command is harder than he thought would have been so much more satisfying. And why was there no wrap-up of the development of the interesting Boma character? So the episode was worthwhile and I liked it, but somebody should have spent more time polishing the script.