I frequently take advantage of the tax payer funded ownership of NASA imagery. I have a nice collection of ISS timelapse footage well before Apple provided them as screensavers.

However, "own a share of their media" means what, that I can have a legit claim to 30s worth of the content? How is that calculated? Divide the number of tax payers in the city by the number of seconds of each bit of content to see how much of it I "own"? You're really bending the concept of tax payer funding here. If that's how you want to go through life, then you do you

You have a right to check out and play the media if it's available. I'm just proposing that you skip the physical "check out" part of that. It's possible to do that honestly: most libraries have an online catalog system and you can see if the title is already checked out or currently available. In fact I'd wonder if some libraries don't already handle their media catalog that way. It would eliminate the risk of damaging the physical media if you could just check out the movie and stream it right from the library's website.