Lots of tiny, portable physical media is slowly being shunted out in favor of everywhere-you-go cloud storage. Eventually, they'll all come to the graveyard like the floppy disk, zipdisk, and digital disc.
As far as I'm aware, things like external hard drives, solid state drives, and flash drives are going to keep sticking around for a pretty long time. Cloud storage can fit big files, but depending on your internet speed (which if you're the average dude, it's not going to be nearly as fast as physical) you're going to be waiting a very long time for that transfer. We're going to have wait a a very long time before that kind of storage starts making everytihng we own obselete (which by the time it does, physical storage will still be faster). In-house network storage is ever more popular and is likely best solution for keeping large amounts of data at a reasonable speed, which can absolutely use physical media for storing your crap.