Well plenty of options exist:

[1] Brave Browser - A browser that monetises your attention in Basic Attention Tokens... personally I think this is a weird solution and has many problems

[2] Steemit - A community which allows you to pay/earn by contributing... also a weird idea, prone to abuse and bad motivations

[3] Metamask - A browser extension which integrates crypto currency into your browsing experience. Allows you to pay a website small payments... this is probably the closest solution to your problem, but I find it a bit cumbersome and confusing to use.

The reality is that it's just not a popular problem that people need solved. Content creators don't really care about a 10c donation, they'd rather optimise for the 10$ donations.

Also, the micro-payments are almost equivalent to just showing ads on the site, but I guess everyone disables those now...

[1] https://brave.com/brave-rewards/

[2] https://steemit.com/

[3] https://metamask.io/