Have you come across the Wayback Machine?
It’s been around for some years, and aims to be an archive of the internet—forever.
I do enjoy having a brose and seeing how far some sites have come, as well as looking back at sites I made years ago.
However, just because it’s fun to browse doesn’t mean you always want your site on it. Now, once a cached version is there there’s not a lot to be done, however you can stop it indexing your site in the first place.
Just add this to your site’s robots.txt file:
That tells the Internet Archive to ignore your site when it’s indexing the internet.