In Star Trek, Spock started acting weird around his species' mating cycle (every 7 years, I think?) and the Enterprise had to travel to his home planet to resolve it. While there, he entered this sort of ritual combat thing with Kirk.

In Futurama, they did a direct parody of this storyline, but with Zoidberg instead of Spock, and he fought Fry. During the fight, they even included an old lady up in the booth playing the generic "combat music" from Star Trek on the organ. It's pretty great.

Parody of this scene in Amok Time: