If you want to build your own internet the easy way:
So clearly this isn't really 'an internet', and it's not even really that good of a solution. But it's something that almost anyone can do, and there's so much interesting content out there to archive that really isn't that large or difficult to store. If you sync it to every device, chances are that even if your Pi craps out on you you'll still have local backups on every device. Or you can take it a step further with a home backup solution, or even sync the Raspberry Pi to an offsite backup hosted through Dropbox/Linode/DigitalOcean/AWS, whatever you want.
The internet as we know it will always be changing. All the cool niche things we find, posts, pictures, apps, etc. will maybe be moved off of someone's server to an AWS instance, or it will just fade from existence. But there are tools to help you hold onto it!