October Sky (Rocket Boys) is my top eng movie. It captures that moment when you discovered your passion for science and engineering. Gotta love breaking out a physics equation to prove your innocence. Prodigious!
I also remember "No Highway in the Sky" although I haven't seen it in about 40 years. I think it may be related to the infamous structural engineering flaw in the de Haviland "Comet," the first production commercial airliner. It suffered from metal fatigue problems associated with stress points around the windows. It's a case study in most materials engineering courses.
C.B. DeMille's 1956 "The Ten Commandments" in the scenes where the obelisk is being placed in Pharoah's new treasure city. Not crucial to the plot, but interesting and believable as to how ancient civil engineers might have done construction.
Later in this movie Moses is shown using a hand-powered bow drill to make a horn trumpet for his young son. A nice detail of domestic tool usage.
One of my favorites, although probably not politically-correct anymore, is the British film, "The Dam Busters." It follows the story of an engineering team that attempts to design a bomb that bounces across a reservoir to destroy a series of dams in Nazi Germany. It's based on real events.
The Dam Busters (1955)