You can keep a copy of every track of music on spotify on a single 4U server, 20 drives or so. That's ~100TB, assuming 5MB per track.
Every movie or tv show episode is another couple of PB in 720p or so.
Extrapolate the last 20 years of HDD capacity growth (around 300x), and assume that will continue, every single piece of media will fit on a single drive.
I know those assumptions aren't a given, but it sure feels like we're heading towards a world where you can just have a local copy of everything always.