動画学, for instance? Or 動画作学? My IME recognizes both. I did some googling and found only 動画学習 as an alternative. Not to be confused with 学習動画, which would probably be “learning/training videos”.
I think 映画学 literally means “cinematography”, but Wikipedia has this to say: 映画学 - Wikipedia (the English page links to “film studies”).
Also, you might get some extra traction here: The quick or short Language Questions Thread (not grammar)