I don't think it's possible to accurately portray the Middle Ages to any degree that will be satisfying to a historian. As a historian that enjoys historical films, I generally view the past as a setting in which good stories can be set. Thus, my cinema-lover's sensibility is probably going to be more easily offended than the side of me that is a historian.
That said, I absolutely love Rossellini's Age of the Medici. Rossellini is, in my opinion, the greatest Italian director. In the 70s, he decided that film had accomplished all it could, and he decided to use film in a blatantly didactic way, and he produced a bunch of history movies that are basically pedagogy in costume. Yeah, it's dated, but as a student of Italian history, it's fascinating to watch how this age was interpreted by one of the greats of Italian cinema. Be warned, all of these films are dry AF, but it's an interesting little experiment in the depiction of the past. He also did one on Louis XIV, Descartes, and some others.
To start with, you may be interested in this Monday Methods in the nature and limits of 'authenticity' in depictions of the past.
Do any medievalists here have an opinion on The Lion in Winter and it’s portrayal of the English Court? Accuracies? Inaccuracies?
Any opinion on the name of the rose ?