Star Trek TNG (Season 1, Ep 3): Code of Honor

The Enterprise visits Ligon II to obtain a rare vaccine and establish relations with the local people. The mission gets messy when the local leader kidnaps Yar, decides to marry her, and Yar is challenged to a fight to the death by his current wife.

Star Trek TNG (Season 1, Ep 2): The Naked Now

A rapidly spreading infection, with symptoms that resemble intoxication, threatens the disable the passengers and crew of the Enterprise just as it needs an able-bodied crew to escape the debris field of a collapsing star.

Star Trek: The Next Generation (Season 1, Ep 1): Encounter at Farpoint

On his maiden voyage as Captain of the Enterprise, Picard is challenged by an ultra-powerful alien, Q, to prove that humanity is not a race of savages.