I would recommend the two episodes "Three Robots" and "Three Robots: Exit Strategies" from the anthology series Love, Death and Robots if you like this kind of humor.
In the puzzle game series The Talos Principle, intelligent robots (who were made to outlive humanity after a species-ending global pandemic) seem to have the exact same kind of affinity for caring for cats that humans do. It's actually really sweet and cute.
Humans extinct for a billion years, AGI and robots tasked to feed and "take care of the cats".
I imagine entire cities, houses built, all empty save cat and humanform robot.