To an extent, Tor can address this, though many sites make this exceedingly painful (Captchas, rate-limiting, outright blocking), and Tor itself is slow -- to set up, bandwidth, and latency.

I'm not sure if some middle tier of connection indirection, content caching-and-forwarding, or other mechanisms, might better address this.

There are protocols such as IPFS and browsers such as Min which might be a partial response to this:

https://minbrowser.github.io/min/