And those are just the obvious ones. It would be super funny if they'd have to do it retroactively.
There's a whole bunch of war movies that are absolutely NOT approved by the US DoD, because they show things in an unfavorable light. Generally this means no access to actual equipment like M1 tanks or 'real' aircraft, which must be substituted using somebody else's b-roll, or CGI.
It is generally pretty easy to tell the difference between movies that were filmed with DoD filming office cooperation (Battleship), and ones that might show something about the military in an unflattering or unprofessional light (Three Kings).
One very famous example is Apocalypse Now, the helicopter scene and a lot of the rest of it was filmed in the Philippines, after making a large payment to their military for use of the Hueys.
(There were also some tax or funding reasons I believe.)
(Side note - holds up well for a 50 year old movie; and one of the best Donald Sutherland performances, in the same year he did MASH.)
I believe at some time in the recent years, the rule got softened, so today, you're only required to show a rather useless warning before the movie. I have no idea why this was done, but I suspect studio pressure playing a role. Something like, the latest Bond movie will have sponsored content whether German government wants it or not, so the only choice is between allowing it or banning major blockbusters and pissing off a large part of the population.
I'm not aware of exactly what you ask for, probably because the military is that good at ensuring nothing bad would be filmed.