Continuity mistake: Jamie and Adam are shooting at Police badges to see which one would potentially stop a bullet. When they get to the third badge, it is held up to the camera. It says 'Jamie Hyneman' on the badge. The badge is then shot, and shown again to the camera. This time the engraved writing on the badge has changed to 'Adam Savage'.
Continuity mistake: Several times we see the Legacy jet from the outside. The windows are square. When we see them from the inside, they are oval. As a matter of fact, no jet has square windows. That mistake was learned with the crash of a de Havilland Comet in 1954. It had square windows which concentrated the strain on the skin of the plane, causing it to fail and crash.