@Mr_NutterButter
My hunch is that the military probably has some of that, but not the entertainment part. Besides, if you're really gonna prep for the apocalypse like that, you should include the world's works of art, and I don't think you'll manage to get all the museums to give them up right now. Not to mention the ones that are owned privately.

We do have vaults with all the possible seeds though. And some people have downloaded Wikipedia for offline use, for when/if the internet goes out. So some of the knowledge is archived, it's just hard to say how likely it is to survive an apocalypse.

You could argue that the various massive servers that hold Wikipedia, YouTube, Spotify, Netflix, Steam etc., are in effect archives of human knowledge and entertainment, but with the caveat that we don't know how protected they are against the various apocalyptic scenarios, and they won't be easily accessible after a collapse of civilization.