TIL that there is a star that is older than the universe:
the Methuselah star.
It's 14.46 billion years old and the universe is a mere 13.799 billion years old.
Apparently these ages are not a problem because of the errors in the estimates: 14.46 ± 0.8 billion years vs 13.799 ± 0.021 billion years. Turns out we need most of that 0.8 billion years error shift in order to stay consistent.