Factual error: Anytime a character fires a missile at an airborne target, it's invariably from an M136 antitank launcher. The M136 is designed to hit relatively slow moving ground vehicles and is useless against fast moving airborne targets. (This is because used M136 tubes can't be reloaded and are very cheap to use as props).
Not What It Looks Like - S3-E2
Factual error: Season 3, episode 49 (Not What It Looks Like). Breaking glass with sound is possible, but would not work as depicted in the episode. First, in order to break the glass, you have to force the glass to vibrate at its natural frequency - that is, the frequency at which it would vibrate if it were tapped. Each piece of glass has its own natural frequency, depending on a range of factors including size, chemical makeup, shape, hardness, and manufacturing methods. No single frequency would shatter all the glass in the store at the same time. Finally, in order to break the glass the piece has to be closed-ended. You can't shatter a plate of glass with sound (nowhere for the sound waves to resonate). Please see http://www.madsci.org/posts/archives/feb98/887203231.Ph.r.html.
Factual error: When the large Dutch guy tells his story about his life in Holland, there are a several windmills. However, the blades are placed on the wrong side, that way it's not possible for a windmill to turn clockwise, which it does. If the blades were placed correctly, they would still turn to the wrong side, because wooden windmills in The Netherlands are always turning counter-clockwise.
Episode #1.1 - S1-E1
Factual error: There is a view of the night sky in southern Africa. However, both the Big and Little Dippers (along with Polaris) are visible. In general, these constellations are not visible in the southern hemisphere, and where they are (North of 1° South latitude) they are very close to the horizon. The Big Dipper (Ursa Major) is to the left of the screen and Polaris (part of the Little Dipper = Ursa Minor) in near the top-center. This occurs shortly after the lion cub scene. (00:44:00)
Factual error: In s01e08, "Q and A", when Yelena is playing chess, we see her use the touchscreen which represents the chessboard. However, the bottom left corner is a white square when it should be a dark square. The board is orientated incorrectly, even though the board on the floor isn't.