For recent or popular work maybe that kind of works yeah, for everything else though... I challenge you to find legally even early 2000s less popular movies or books, let alone older work.
The current copyright system is pretty terrible at keeping track of older content and the few ones that still manage to make it through have questionable rights holders.
Yeah it's pretty easy. I just went to a list of movies from 2001 by box office, number 100 was actually a cult classic now so skip that and I see the Tailor of Panama which is a less popular movie, steaming on Amazon https://www.amazon.com/Tailor-Panama-Pierce-Brosnan/dp/B000X... and i can get a copy on DVD with interlibrary loan. The Shogun miniseries from the 1980s has some renewed interest since the new version and it's not streaming, but you can purchase a DVD on a bunch of places and once again, I can get it through my library.