If you set your http proxy to be "theoldnet.com" port 1997, and (important!) add an exclusion for web.archive.org, then you can browse the entire web from 1997.
You can also change the port number to your preferred year.
This is really fun on retro systems / web browsers.
Detailed instructions: https://theoldnet.com/docs/httpproxy/index.html
Is there something like that to translate the modern web into some lo-fi HTML 3 to view on an old computer?
You could use WRP, which renders web pages into giant imagemaps. https://github.com/tenox7/wrp
There's also Browservice: https://github.com/ttalvitie/browservice