It is pretty simple: if you do not print it, it does not exist.
The technologies we use today to store our images (hard drives, the 'cloud', etc.) are quite amazing, but are also quite limited. It is unlikely that a grown grand-child will be able to open up a cd, dvd, hard drive, etc and be able to retreive an image made some decades before by a long gone grand-parent. A print, however poorly or well made, will always be easy to retrieve and viewed.
The really excellent advance for print longevity is the ink-jet printer (pigment inks), especially for colour images. I never used colour for my personal work in my film days – I printed on fibre b&w paper and selenium toned those for longevity. I do not consider anything 'archival' if it cannot last as long as the drawings in the caves of Lascaux, but will be happy to just have my prints outlive me. Ink-jet colour prints will outlive me, chromogenic colour prints likely will not.
The ability to produce very small runs of books is also quite amazing. And books only need eyes to be seen, they are technology-obsoleteness-proof.
So, print anything you think may have some value to someone in the future. And print anything you might enjoy looking at today.