1. The Enterprise runs into a mysterious energy field of a type it has encountered several times before.
2. The Enterprise goes to visit a remote outpost of scientists, who are all perfectly ok.
3. Some of the crew visits the holodeck, and it works perfectly.
4. The crew is struck by a mysterious plauge, for which the only cure can be found in the well stocked sickbay.
5. A power surge on the bridge is rapidly and correctly diagnosed as a faulty capacitor by the highly trained and competent engineering staff.
6. The crew is captured by a vastly superior alien race which does not put them on trial.
7. The crew is captured by an inferior alien race which they easily pacify with candy and sweets.
8. A major Starfleet emergency breaks out near the Enterprise, but some other ships in the area are able to deal with it.