This might be another "64kB of memory should be enough for anybody" prediction, but will we ever need to go past 8K resolutions? Even 4K is crazy high resolution and anything higher feels unnecessary and pointless if our eyes can't see smaller.
If 360 video kicks off, we might see resolutions resolutions much higher than 8K that ensure the viewport is always 8K. 10 bit colour is something that could get wider adoption. Also I'd assume bitrate will creep up with network speeds and storage prices, to reduce compression artifacts.
I can see 8K res coming to 27" computer screens, I've got an iMac 5K 27" and there is room for improvement with the pixel density when it comes to video/photo editing. But yeah I don't see it going much higher for displays, maybe for large cinemas.
But I'm sure there will be other video/photo technologies coming up that will use large amounts of data. People just haven't invited it yet due to storage constraints.