Stupidity: Colonel Sharpe retrieves a gun from a locker on the Freedom shuttle. However, said gun is shown lying flat on the floor of the compartment, with no visible means of securing it, which would hardly be standard NASA procedure given the shuttle undergoes a high-G launch, orbital manoeuvres and various other high acceleration events. A loaded gun bouncing around is the last thing anyone would allow on a shuttle. (01:42:39)
Stupidity: When they are preparing for a German assault towards the end of the movie, Miller explains to them the concept of the sticky bomb and adds, "If you have a better idea of knocking the treads off a tank I'd like to hear it." Um... The bazooka? They had eight rounds for it, and it could have easily been used to disable the treads. And the men wouldn't blow themselves up with it. While it couldn't destroy a tank by penetrating the armour, it's certainly strong enough to disable the tracks.
Stupidity: When the two Russians are walking past the security guard after killing Gregor, they are just allowed out without being detained because one of them shows a Chilean passport. The French gendarmes are not that incompetent. They would detain the men until everything is (or is not) cleared up. (01:49:05)
Stupidity: Just after the geckos have finished eating Josephine's children, Thang, Rose, Didi and Sal attempt to sneak away. They attempt to sneak away from the geckos by walking directly in front of them which results in the geckos spotting them. If they attempted to get away in literally any other direction, the geckos would not have seen them. (00:22:50)