I can think of two examples where digital media has limitations which affect the fidelity of playback in a major way: with music it’s gapless playback, often noticeable on MP3 players and with CDs on some players. With DVDs it’s layer changes, again, worse on some players than others.
This shouldn’t be the case, of course. Digital media of course is meant to be better than analogue, in every respect. I don’t know if there are standards mandated in the relevant formats, but perhaps there should be… or at least some documented workarounds, such as recommending where DVD authors place layer-changes.
After all, these kinds of things can ruin the enjoyment of a movie or piece of music if handled badly.