The Pain in the Heart - S3-E15
Character mistake: Bones says the remains are from someone about 180cm tall, and when asked for the "English" version, says "approximately 5'8." But 180cm is nearly 5'11" - 5'8" is only just over 170cm. Not a simplification someone as pedantic/accurate as Bones would make.
The Pain in the Heart - S3-E15
Factual error: Following Sealy's funeral, in the scene at the Jeffersonian, a close up of Master Sergeant Booth's uniform, the service ribbons are displayed upside down. His bronze star is on the bottom right and it should be on the top left.
The Pain in the Heart - S3-E15
Character mistake: Zach, from his hospital bed, says he used 3 grams of the monomer to make the explosion. 3 grams of a powder would be a very small amount; less than a teaspoonful. But when he actually did use it, he took a loose amount in a large tablespoon. Zach would have carefully measured it in order to be precise; but he did not. So this is a factual error in what he says; it is also a character mistake in that Zach is the personification of technical accuracy, and would never take a casual spoonful - especially of an explosive.
Suggested correction: Given subsequent revelations, this could be said to be part of everything that goes on.