Civil War: Reed Richards admits to having basically invented psychohistory, but needs someone to check his figures. He asks recurring villain Mad Thinker for help, as he's an evil super-mathematician who likes to use Xanatos Gambits. The Thinker is bowled over by the scope of Reed's calculations.
The Arrival: When Zane is talking about the signal, he states that it could be the alien's Encyclopedia Galactica, a Fictional Document used in Foundation.
Prometheus: Weyland's hologram-message to the crew bears a striking similarity to Hari Seldon's series of hologram-messages. Seldon is also physically diminished, reveals the true hidden nature of their mission, and is secretly manipulating people from beyond the grave. Although, in Seldon's case, he really is dead.
Sten: Famed diplomat Sr. Ecu sends the equally renowned psychologist Rykor a copy of an ancient Earth manuscript. Rykor says she finds the idea of "psychohistory" fascinating, but found the protagonist "Selden" rather repellent.
Paranoia: Acute Paranoia supplement: The new secret society The Foundation is dedicated to creating refuges where Alpha Complex citizens can survive when the Complex is destroyed. This is a reference to Isaac Asimov's Foundation series, in which the Foundation was set up to preserve knowledge when the Galactic Empire fell.
Civilization: Beyond Earth: If you find the remains of a failed expedition you can perform a psychohistorical analysis of their records to learn from their mistakes. The ADVISR also performs one at the very beginning of the game to tell you about Affinities if you choose to activate Full Guidance.
Elite: Frontier: First Encounters has one in a nod to Foundation where the science of psychohistory and a figure named Dr. Seldon are mentioned in a news article called "Universal Scientist".
No Man's Sky: The 26 November 2016 update is named "Foundation" and there's a "Foundation" achievement, earned by having 250,000 units in your inventory.
The Great Khan, like the Mule, comes apparently out of nowhere to become a potential Galactic Conqueror and is rumored to be a powerful psychic (though these rumors are never confirmed for the Great Khan).
Dimensional Prophecy of Zohar Redux: The protagonists are a group of Mathematicians who design an algorithm that can predict future Caine attacks. The algorithm is once called a form of "psychohistory", a term invented by Dr Asimov that his mathematicians use to predict the future.
Futurama: The holophonor is a recurring musical device based on the Visi-Sonor.
Justice League: In "Twilight", an incredibly powerful AI living in a space base has stumbled into the problem of having developed as far as computers allow, and must now merge with a humanoid alien in order to continue. In other words, same as the climax of Foundation and Earth.