The episodes are being presented in order of numbering. The airdates are in a slightly different order.
Episode Title: 'Dagger of the Mind'
Synopsis: "While delivering supplies to a facility for the criminally insane, Kirk is taken hostage by a power-hungry doctor who uses a neural neutralizer to control the minds of his patients."
Episode Title: 'Miri'
Synopsis: "On a planet of decades-old children, one of whom develops a crush on Captain Kirk, the away team becomes infected with a genetically engineered disease that prolongs youth but kills adolescents."
Episode Title: 'The Conscience of the King'
Synopsis: "When the leader of a traveling theatrical troupe is suspected of being a genocidal governor, the suspicious deaths of people who could identify him concerns Kirk - especially since he's one of the survivors."
Episode Title: 'The Galileo Seven'
Synopsis: "An away mission led by Spock falls victim to a disastrous crash on a hostile planet, where Spock and McCoy fight over the ineffectuality of his strictly logical approach to the situation."
Episode Title: 'Court Martial'
Synopsis: "Kirk is put on trial for negligence when the computer records contradict his logs about the death of a crewmember during a shipboard crisis."