Living snails that carbon-date to 2,300 years old, a living seal that was carbon-dated at 1,300 years old, and 8,000-year-old living penguins. Not to mention dinosaur bones that dated to 20,000 years ago. Obviously carbon dating doesn't work, unless you understand it. Here's the explanation that even a 5th-grader can understand.
See also "The Age of our World Made Easy" at for reference.