A...new thread at GS? A cock goes down your throat!
The Holy Roman Empire isn't related to the Roman Empire. It was formed by Charlemagne and the pope in 800 AD. The eastern Roman Empire (to which they referred to themselves as just the Roman Empire, and were a direct continuation of the main Empire proper -- Byzantium is a modern term) stood apart from the HRE (which, itself, wasn't actually organized or a serious entity till about 1000 or so). The HRE was so self-involved in their own fuckery that the fall of the Eastern Empire was barely on their radar. Of course, the collapse of the eastern Empire was a long, slow, centuries-long series of fuck-ups. By the time Constantinople fell, the "Roman Empire" mainly just consisted of...Constantinople.
But don't confuse the Roman Empire with the Holy Roman Empire. They are totally different and wholly unrelated entities. That's why 19th century scholars dubbed the post-400s Eastern Roman Empire "Byzantium" in history books so it wouldn't confuse stupid people.
Technically, the Holy Roman Empire maintained until the Napoleonic wars. He's the one who officially dissolved it. So it lasted from 800-1806.
There are lots of books set around/before/during/after the fall (and also alternate history fantasy/sci-fi/horror), but not many movies or films. Which is good news for you. There are some Turkish-language films but I've never seen them.