A really clever creator would work to make a true analog artifact and let people enjoy the mystery. Most of the work would be in creating a credible piece of media that looks authentic to the period you are recreating and comes in a format appropriate to that period as well.
It has to be as authentic as possible so that it resists all attempts at scrutiny by the viewer. There must be the chance that the person interacting with it actually takes it for a real thing. You can't just put it on a VHS tape either. It has to be a tape sourced from the time, the box should use paper sourced from the time or a clamshell taken from the period. You have to commit to trying to be one step ahead of every question people are going to have about it so when they start peeling back the layers it holds up and that will start to convince a portion of the audience that the thing is the genuine article.