1.The Enterprise runs into a mysterious energy field of a type that it has encountered several times before.
2.The Enterprise goes to check up on a remote outpost of scientists, who are all perfectly all right.
3.The Enterprise comes across a Garden-of-Eden-like planet called Paradise, where everyone is happy all the time. However, everything is soon revealed to be exactly as it seems.
4.The crew of the Enterprise discover a totally new lifeform, which later turns out to be a rather well-known old lifeform, wearing a silly hat.
5.The crew of the Enterprise are struck by a strange alien plague, for which the cure is found in the well-stocked sick-bay.
6.An enigmatic being composed of pure energy attempts to interface to the Enterprise's computer, only to find out that it has forgotten to bring the right leads.
7.A power surge on the Bridge is rapidly and correctly diagnosed as a faulty capacitor by the highly-trained and competent engineering staff.
8.A power surge on the Bridge fails to electrocute the user of a computer panel, due to a highly sophisticated 24th century surge protection feature called a 'fuse'.
9.The Enterprise ferries an alien VIP from one place to another without serious incident.
10.The Enterprise is captured by a vastly superior alien intelligence which does not put them on trial.
11.The Enterprise is involved in a bizarre time-warp phenomenon, which is in some way unconnected with the 20th century.
12.A major Starfleet emergency breaks out near the Enterprise, but fortunately some other ships in the area are able to deal with it to everyone's satisfaction.
13.Mood rings come back in style, jeopardizing Counselor Troi's position.
14.Worf actually gives another vessel more than 2 seconds to respond to one of the Enterprise's hails.
15.The Captain has to make a difficult decision about a less advanced people which is made a great deal easier by the Starfleet Prime Directive.