Every Insanely Mystifying Paradox in Physics: A Complete List

• Archimedes paradox
• Aristotle's wheel paradox

• Babinet's principle
• Bell's spaceship paradox
• Black hole information paradox

• Bootstrap paradox
• Bootstrap paradox in fiction
• Carroll's paradox
• Denny's paradox
• Ehrenfest paradox
• Elevator paradox
• EPR paradox
• Fermi paradox

• Fluctuation theorem
• Gibbs paradox
• Grandfather paradox

• Gravitational singularity
• Greisen–Zatsepin–Kuzmin limit
• Hydrodynamic paradox
• Hydrostatic paradox

• Klein paradox

• Ladder paradox

• Levinthal's paradox
• Lombard's paradox
• Loschmidt's paradox
• Mpemba effect
• Olbers' paradox (Why is the night sky not blindingly bright?)

• Painlevé paradox
• Predestination paradox
• Predestination paradoxes in popular culture
• Rietdijk–Putnam argument
• Quantum immortality

• Schrödinger's cat
• Supplee's paradox
• Tachyonic antitelephone
• Tea leaf paradox
• Temporal paradox
• Tolman's paradox

• Trouton–Noble experiment
• Twin paradox
• Ultraviolet catastrophe

• Cool tropics paradox

• holographic principle
• Irresistible force paradox
• Algol paradox
• Faint young Sun paradox
• Archer's paradox
• Archimedes paradox
• Aristotle's wheel paradox
• Carroll's paradox
• D'Alembert's paradox
• Denny's paradox
• Elevator paradox
• Feynman sprinkler
• Painlevé paradox
• Tea leaf paradox
• Bentley's paradox
• Fermi paradox
• Olbers' paradox
• Faraday paradox
• Bell's theorem
• Hardy's paradox
• Klein paradox
• Quantum pseudo-telepathy

• Bell's spaceship paradox
• Black hole information paradox
• Ehrenfest paradox
• Ladder paradox
• Supplee's paradox
• Simulation paradox

• Twin paradox
• Gibbs paradox
• Loschmidt's paradox
• Maxwell's Demon
• Mpemba paradox

Of course, the title "Every Insanely Mystifying Paradox in Physics: A Complete List" is meant to be humorous.
The list will grow with your suggestions.

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I've assembled this page mostly by pointing to publically available content at Wikipedia, Absolute Astronomy, and Youtube. If you feel a physics paradox should be added to this list, let me know.
For more videos and physics paradoxes, see The Physics Book page.