In times like these I always like to urge people to figure out what these services are that you like using online and see if there are ways that you could roll them yourself at home for your own personal use.
So with stuff like SearX, invidious, nitter, etc you can run your own instance.
Can you run your own instance of archive.ph? Obviously not their software (they don't release it), but is there a version you can run yourself?
The important parts of what archive.ph provides are:
1. Headless chromium that works around 99.9% of the "headless fingerprinter" techniques. Yes, they do actually spin up a full browser engine; that's what sets them apart.
2. Decent curated collection of paywall-bypass tactics.
#2 is definitely available from other sources. So really what we're looking for is a one-click "headless chromium that deals with 99.9% of the fingerprint detectors".