Comment by Asraelite
The best one seems to be https://en.wikipedia.org/wiki/5D_optical_data_storage but there's also M-DISC and DNA storage. Microfilm also lasts about 500 years.
As for ubiquitous access, store a reading device or instructions on how to build one along with the data. If you're unable to do that, then I doubt you would be able to keep a massive library of books around for very long either.
There's also no financial incentive to build technologies like this. If the world actually got together and tried to build long-term digital storage then I'm sure we could come up with something even better.
> https://en.wikipedia.org/wiki/5D_optical_data_storage
An interesting technology, but also not exactly something I could get at my local Best Buy today.
M-DISC, assuming it's writable using consumer Blu-Ray writers, is promising though – Blu-Ray drives can probably still considered ubiquitous enough in a pinch.
> DNA storage
DNA is in fact extremely unstable unless it's part of living organisms that constantly error-correct and replicate it, and even then you have random mutations.