One of my favorite examples of stereotype accuracy comes from the field of personality psychology. Popular stereotypes tell us that men are more logical and women are more emotional. Lie? Bigotry? Satanism? Personality tests confirm an even stronger pattern than I expected. Myers-Briggs type tests have a Thinking/Feeling measure. The breakdown for males is about 60/40. The breakdown for females is about 30/70. You may be able to create imaginary stereotypes in a psych lab, but here is one prominent stereotype backed up by a 30 percentage-point chasm.
Does this stereotype fit you? The last time I checked, you can't take an official Myers-Briggs test over the web, but the Keirsey Temperament Sorter is a close substitute - and it's free.