Reverse engineering has only really been properly (quotation marks necessarily so large that it would break site formatting so they are skipped for this) in two films that I know of.
1) Paycheck (2003).
2) The Martian.
The former is very very silly, though I do like staff fighting.
The latter is barely a sub plot in it. Good film though.
Engineering in general.
I once watched a TV series wherein the idea was [you find yourself in a bad situation with a bunch of engineers, engineer your way out] aka what every such person secretly hopes they end up in a situation for that and is envious when their friends have such a story (I can't do boats but hearing all the stories there makes me want to be seasick for a week on a boat with a dodgy engine). It was edited and set up so annoyingly* that I basically hate watched a few episodes.
*one time they had generator and a welder but no lead for the welder. "woe is us" until one of them chops the wires off, wires live to live, neutral to neutral and possibly an earth as well. The others then celebrate like it was a big deal of master engineering.
That might be more an issue with discovery channel editing though. I can watch internet video on the matter all day long, and often do. Other Discovery shows have got better after I see talks from them -- "Prototype this" was a show I watched, aggravating to say the least but seeing talks at Defcon from a couple of the presenters (all of which were skilled in their own right) changed things somewhat there.
Back on internet video then for instance from history earlier today
Wonderful stuff there.
Computer hacking. Generally every year or so one of the hacker conferences will have a reel of stupidity from films and TV. They are hilarious. Even Mr Robot, which was otherwise at least plausible, got a bit silly.