
Stupidity: A prisoner, Jack Williams, rats out Hogan and his team to the Germans, so they fake his death and smuggle him back to London for court-martial. What a stupid thing to do. They should just shoot him and be done with it. First, what if he escaped from captivity on the way through occupied Europe? Second, he has done nothing wrong. Being a grass isn't a crime. Third, Hogan and his men are the war criminals - they often engage in combat activities out of uniform. Williams is going to be acquitted.

The Night of the Human Trigger - S1-E12
Stupidity: West and Gordon are in the coal cart and rock it until it tips over so they can escape. Neither West nor Gordon had their feet tied up, only their wrists, meaning both could have merely stood up in the cart and jumped out of it, rather than rocking it side to side.

Urutora sakusen dai ichi gô - S1-E2
Stupidity: Just by glancing from distance at the VTOL's flaming wreckage, the SSSP chief can instantly tell that Hayata is not in it. That is some impressive analytical ability. (00:08:50)

Stupidity: On 8/12/04, Hope specifically told everyone that when the coin was thrown into the force field, there would be a bright flash and that they shouldn't look at the forcefield when this was done. But all three times that the coin was thrown at the force field that day and the next, everyone looked right at it the whole time, and then recoiled in pain at the flash that inevitably occurred.
Suggested correction: Not true. The crime he committed was treason, a capital offence under both civil and military law at the time. Being a partisan is not an offence under the Geneva Convention, as these were mainly captured flyers, led by a small team of specialists. To execute a prisoner, as you suggest Hogan's men should do, is murder, also a capital offence at the time.
stiiggy
Nobody from Stalag 13 accompanies Williams back to London - so where is the evidence of his "crime"? Hogan and his men often take part in combat activities both out of uniform and even wearing German uniforms, which is itself a one way ticket to a firing squad.