It always bothers me a bit when I'm watching or playing something and there are huge, immersion-breaking inaccuracies. I know this is a little different than the usual question, but I hope the mods allow it. Does AskHistorians have any recommendations for entertainment that also shows deference to history?
I'm a big fan of the film 'Thirteen Days' starring Bruce Greenwood as JFK. It is specifically about the Cuban missile crisis, and so far as I know on my admittedly outside-the-field understanding of the matter, it does a damn fine job balancing historical accuracy with good, top-notch drama.
And just as a PSA, I know it has come up on this sub before, but while a damn fine mini-series entertainment wise, with decent history scattered throughout here and there, HBO's 'John Adams' is NOT good history as a whole. (Further reading here: http://historynewsnetwork.org/article/56155 )
You might want to find George MacDonald Frazier's Hollywood History of the World, which takes a critical but loving look at exactly this subject. My recollection is that Frazier gave some of the best marks for accuracy to time and place, albeit in a totally fictional story, to Rob Roy - the Scottish Highlands movie with Liam Neeson and Jessica Lange. That's a period Frazier was well-equipped to judge, having written Steel Bonnets a well-researched history of the Scottish borders.
(Frazier, of course, also wrote the immortal Flashman novels, which anyone with any interest in history will find to be a complete hoot. He also wrote, in my opinion, one of the best service memoirs ever, about his time in Burma during WW2. I think that's called Quartered Safe Out Here.)
I was quite impressed with the 2012 movie Lincoln. They really tried to get the appearance, situations, manners. Staunton looked like Staunton, Seward like Seward. The language, while not perhaps quite as sentimental and flowery as one would find in the period, was considerably more correctly elaborate and ceremonial than the usual film Hemingway-like dialogues. I mean, it was a movie- people were acting, camera angles were dramatic, scenes were set...it's not like it was somehow pretending to be a documentary- how much can we actually know?. And there are some things that were debatable ( was Thaddeus Stevens married to his black housekeeper?) but compared to the usual graphic-novel-wacky stuff, you have to give it an A for effort.
The Mount and Blade games for PC, specifically Viking Conquest (Viking era England) and Fire and Sword (based on the book), are pretty good at representing the historical politics and weapons. The games are ancient by computer standards (2008 I think), but I can't think of much that will break immersion, outside of glitch breaking the games.