Video Game Single-Player Campaigns Recorded and Edited as Movies.

After playing the MW1 and MW2 single-player campaigns and enjoying them a lot, especially their movie-like qualities, after MW3 came out I found myself looking for the campaign on YouTube and, lo and behold, there it was, all 5 hours or so of it! :D

I absolutely loved watching it like a movie and in fact found it better than many Hollywood action movies. Yesterday I came across a similarly made movie of the Mortal Kombat 9 campaign and enjoyed that one as well. (The story was weaker and the acting was poor too, but that's to be expected with Mortal Kombat anyway - I still enjoyed seeing all the old characters interacting and a lot of backstories about how some of them came to be the way we know them etc.)

Now I find myself wanting more! :D And in my quest to find more single-player-campaigns-recorded-as-movies my first obstacle is that there seems to be no specific NAME for this kind of thing yet. If I search for "game movie" or anything like that I start getting all kinds of ridiculous "live action" game-BASED movies instead what I was looking for.

Is there no specific word for this? Do we have to invent one?