Thomas Anderson is a software programmer by day and a hacker named Neo by night, living in a version of 1999 that feels subtly wrong. He is contacted by Morpheus — a legendary figure in the hacking underworld — and offered a choice: a blue pill that returns him to comfortable ignorance, or a red pill that shows him the truth. He takes the red pill. The truth: the world he inhabits is a computer simulation — the Matrix — generated by machines to keep humanity pacified while they harvest human bioelectric energy. The real world is a devastated post-apocalyptic Earth where the remnants of humanity live in an underground city called Zion.
Neo is told he may be "The One" — a prophesied figure who will end the war between humans and machines. He trains, he doubts, he loses his mentor, he dies, and he is resurrected — emerging as something qualitatively different from what he was. In the film's final scene he flies. The machine world's grip on human consciousness has been broken — or at least, the first crack has been made.
This is the surface. Beneath it is a structure so precisely aligned with the classic initiatory pattern that it functions as a complete esoteric teaching — whether or not every viewer consciously recognises it as such.