Schrödinger's Cat
Put a cat in a sealed box with a radioactive atom, a detector, and a mechanism that releases poison the instant the atom decays. Whether the atom has decayed is genuinely undetermined — a quantum superposition — until it's measured. So, by a strict extension of quantum mechanics to the macroscopic cat, shouldn't the cat itself be in a superposition of alive and dead until someone opens the box?
Schrödinger proposed this in 1935 — not to describe something he thought actually happens, but to argue that something must be wrong with a naive reading of quantum mechanics. No one has ever put an actual cat in this situation, and no one thinks a real cat is ever in a state of being both alive and dead. The thought experiment is a tool for exposing exactly where the "measurement problem" bites, not a report of an observed phenomenon.