Interstellar

In the near future, Earth suffers from crop blight, starvation, and devastating dust storms. Cooper, an ex-NASA test pilot-turned-farmer, raises his children, Murph and Tom, with the help of his father-in-law, Donald, following the death of his wife. Murph believes a "ghost" is trying to communicate with her through her bookshelf but is met with skepticism. Following a severe dust storm, Murph's bedroom experiences dust being pulled by gravity into lines of binary, which reveal coordinates to a secret NASA facility. At the facility, mission leader Professor Brand recruits Cooper for a last-ditch mission to save humanity on Earth, by finding habitable planets outside the solar system via a wormhole near Saturn. Cooper joins scientists Amelia Brand, Romilly, and Doyle, while bidding farewell to his children to whom he promises to return.

The Endurance spacecraft, piloted by Cooper and artificially-intelligent robots, TARS and CASE, passes through the wormhole and emerges into a faraway galaxy, orbiting a supermassive black hole, Gargantua. Previous NASA explorers have made this journey and three—Miller, Mann and Edmunds—have reported their planets being potentially habitable. Arriving on Miller's planet, the crew finds her spacecraft ripped to shreds. A massive tsunami, apparently occurring often due to the planet's proximity to Gargantua, barrels towards them and sweeps Doyle away. Amelia and Cooper return to the Endurance to find decades have passed in Earth-years. Alone on the spacecraft, Romilly has aged significantly.

On Earth, an older Murph is a scientist with NASA, helping Brand with his equations. On his deathbed, Brand admits that it was all a farce, and that humanity's Earth-existence is doomed; Murph relays this information back to the Endurance crew on Mann's planet, prompting Cooper to abandon the mission and return to Earth. Mann attempts to stop him, revealing that he falsified information about his planet's habitability in hopes of being rescued. Amelia saves Cooper, but Romilly dies in an explosion at the camp. Flying into space, Mann initiates an unauthorized docking maneuver with the Endurance, which depressurizes the airlock and kills him instantly. Cooper pulls off a daring rescue to save the spinning Endurance.

Without enough resources aboard to return to Earth, lone survivors Cooper and Amelia chart a course towards Edmunds' planet. Cooper sacrifices himself and TARS by detaching from the Endurance, keeping Amelia on course to survive the mission with the resources remaining. Cooper and TARS fall into the black hole, emerging inside a higher-dimensional tesseract where time is "physical." Here, Cooper sees his past-self leading him and Murph to the NASA facility through messages in Murph's bedroom. Knowing that quantum observations of the black hole could help Murph develop solutions to save humanity, Cooper encodes the data into a wristwatch placed on Murph's bookshelf. The tesseract dissolves, and Cooper and TARS are ejected from both the black hole and wormhole into the path of a human spacecraft orbiting Saturn in the future.

Aboard the cylindrical space-station, Cooper learns that Murph is now a venerated scientist, who developed the equations that allowed mass exodus from Earth. Murph is now much older than him due to the extreme time dilation he experienced near Gargantua. Having assured humanity's continued existence, Murph is nearing death but does not wish Cooper to witness it. She suggests he seek out Amelia on Edmunds' planet instead. Cooper and TARS embark on another journey to reach Amelia, who directs CASE and other robots to erect a new colony on the surface of Edmunds' planet. She kneels over his grave, takes off her helmet and breathes in the air from the surrounding atmosphere, indicating the planet could be humanity's next home.