The real nostalgia for tape is the fact that anyone could record a tape and play a tape. Couldn't do that with a vinyl record or CD. Mix tapes, bootlegs, etc were a huge part of many music scenes. Bands could make their own crappy recordings on the cheap. The golden era of analog audio sharing.
This is what I loved about minidisc, they were like digital cassette tapes. I could record from the radio, trim out the DJ, order the tracks, and add artist/title information. It was fantastic. I could also use a TOS link cable on my PC to record MP3 onto the minidisc and reuse it over and over again, mixing up the tracks however I wanted. It was so much better than CDs, and easier to travel with.