The Green Mile
The most important scene of The Green Mile involves the electric chair. John Coffey was finally sentenced to death, and Paul Edgecomb had to heartbreakingly handle the execution. This scene might have been easier to watch if it were true to the time period, because the electric chair wasn't produced until 1940. This movie was set in 1935.
Robin Hood: Prince of Thieves
Even though Robin Hood isn't entirely based in reality, they did their best to keep the film as historically accurate as possible. The story of Robin Hood takes place in the year 1194. In one scene, the character Azeem uses a telescope. Telescopes weren't invented until the 17th Century, nearly 500 years later. This small detail was totally overlooked and the directors didn't care to be super historically accurate.