I've not yet seen Fury. I'm not an armour buff either but my brother is the biggest rivet counter you could imagine. His opinion was that it was a comic book film based on the unlikely situations that it portrayed, but he still enjoyed it as a movie. I am a button counter when it comes to models (and proud of it), but I give films a bit of slack. They are not documentaries and I am pleased enough when they at least try to get it right.
Battle of the Bulge and Patton obviously had a surplus of the wrong tanks available and the film studios obviously didn't give a damn. It didn't matter when it came to nominating oscars but it did to me. I'm old enough to remember being brought up on 1940's and 1950's films which commonly used american armour for German and nobody kicked up a fuss, even though a lot of the actors were ex-servicemen themselves.
One of my favourite war films as a child was Sea of Sand. I saw it again recently and got a real warm feeling when the Afrika Corps M3 halftrack hove into view. It wasn't accurate but it sure looked good.
We probably expect too much from Hollywood, which is after all mainly interested in profit. Cinema audiences are probably 1% enthusiasts, 99% muggles anyway, so go figure!
It is welcome however, when an effort is made, and this is thankfully becoming more of a thing being aimed for. As more and more armour is being renovated and constructed for re-enactment purposes, it will hopefully only get better.
New research is also a two edged sword. When Waterloo was made, I doubt many viewers criticised it too much, and it was consistent with most accounts of the battle as accepted at that time. Now, after reading much newer research, I look at it as getting most of the events wrong in some way, but even so it still gives the best impression of Napoleonic warfare to date, after the Russian War and Peace. Let's just consider if we are watching a good film or a bad one, and leave the nitpicking for a bit of light hearted fun.
Also, look out for a film called Fortress of War, which I picked up for next to nothing somewhere. It's a Russian film (I think) about the siege of Brest fortress in 1941. I can't guarantee it is 100% authentic but it has the same feel as the German Generation War already mentioned. Also lookout for City of life and Death, about the Japanese taking of Nanking, and Kokoda; 39th Battalion, which gives a gruelling impression of the hardship of jungle warfare. Not for everyone style-wise but unforgettable is Come and See (again Russian) - (I guarantee you will want to go out and shoot a Nazi afterwards}. There is also a film called White Tiger ( Russian!) about T34s hunting down legendary Tiger - not seen it, but the trailer looks like it could appeal to the Turrets and Tracks brigade.