1) They compressed 30 years of history into 4 and a half hours. Things will get left out doing so.
2) This was never intended to be a doctorate-level course in European and American History.
3) It was entertainment! GOOD entertainment. Churchill's speech in Part II actually made me sit up a little straighter and sent chills down my spine.
4) Yes, there were equipment and armament inaccuracies. They also had a little thing called a BUDGET, keep that in mind that it wasn't an infinite one.
5) If you sat down to watch this with a checklist of every single event of World War I and II, you are missing the point. It painted the broad strokes very well. If it can get even ONE person interested in learning more about that era, then the producers did their job as far as I am concerned.