BTW, I loved Brazil, and 12 Monkeys.
I don’t think I know Dark City.
Dark City came out at the same time as The Matrix, and shared certain themes with it. I would say that The Matrix is a re-imagining of the old Gnostic heresy, and Dark City is a re-imagining of Plato's allegory of The Cave.
It's a sci-fi film noir where nothing is what it appears to be, memory is unreliable, and no one knows what they think they know.