Obviously the first standard that most would admit should be well in place whenever telling a historical story is simple: accuracy. The very act of telling a historical story necessitates doing it in the most accurate way possible within the medium chosen.
Secondly, the standard that many would reasonably expect from a book, movie, or game that tells a historical story is: be respectful. This is obviously more subjective, but it is fair to hold an author, director, or developer to a standard of respecting the story, persons, or facts pertaining to the story they are using for their art.
Lastly, and this is probably the one that gets some movies or games into trouble: honesty. Historical events are messy and have lots of unpleasant things that have taken place. Many take issue with stories that don’t paint one side as perfect and the other side as pure evil. The honest look is usually somewhere in between and can make folks uncomfortable.