This seems relevant to our interests: https://www.theguardian.com/games/2025/jan/28/video-game-history-foundation-digitised-archive-games-magazines
I haven't actually read it yet. But I thought I would share so that I remember to read it later.
Nice to have an official project. Archive.org has pretty much everything already, though. They say it's "patchy" though I haven't seen evidence of that from most mags. True that the legal status is iffy though, which is why the official project is good.
Finally, I might have proof I existed in the 2000s again. 
The key word searching seems to be the bigger bonus here though, I don't think Archive.org does that does it?
It doesn't for the content of the magazine unless people add keywords in the description. So yeah, bonus.