How does The Enterprise crew react in the face of an antagonist that is much more powerful than them.

References:

https://memory-alpha.fandom.com/wiki/The_Corbomite_Maneuver_(episode)

The Wild Sea by Hampton Sides: https://www.penguinrandomhouse.com/books/602227/the-wide-wide-sea-by-hampton-sides/#

Can Kirk rescue Scotty from the asylum for the musically insane?

References: https://memory-alpha.fandom.com/wiki/Dagger_of_the_Mind_(episode)

Can the crew of the Enterprise resist the allure of blue raspberry Otter Pop?

References: https://memory-alpha.fandom.com/wiki/Miri_(episode)

https://en.wikipedia.org/wiki/Otter_Pops

Captain Kirk and Nurse Chapel, check on a scientist that nobody has heard from in 5 years.

Sources: https://memory-alpha.fandom.com/wiki/What_Are_Little_Girls_Made_Of%3F_(episode)

https://www.imdb.com/name/nm0144252/?ref_=tt_cst_t_5

https://en.wikipedia.org/wiki/Ted_Cassidy

https://en.wikipedia.org/wiki/Carel_Struycken

The Enterprise beams aboard a jaunty pirate with intimidating chest hair and his alluring "cargo."

Trivia Source: https://memory-alpha.fandom.com/wiki/Mudd%27s_Women_(episode)

There's a sinister presence lurking on the Enterprise. Can Hornelius Bark help save the day?

Trivia Comes from: https://memory-alpha.fandom.com/wiki/The_Enemy_Within_(episode)

When a gloveless idiot puts the ship in danger, can Scotty save the day by inventing a new genre of music?

Source: https://memory-alpha.fandom.com/wiki/The_Naked_Time_(episode)

Sorry for the noise from my fidgeting in the background.

Research Link:

Where No Man Has Gone Before (episode) | Memory Alpha | Fandom

https://memory-alpha.fandom.com/wiki/Where_No_Man_Has_Gone_Before_(episode)

The Enterprise picks up a mysterious castaway, then strange things start to occur.

Sources: https://memory-alpha.fandom.com/wiki/D.C._Fontana

https://memory-alpha.fandom.com/wiki/Charlie_X_(episode)

Season 1 Episode 1 of Star Trek: The Original Series.