Is there an API that can tell me the most popular pages on a site?

I'm building a monitoring service that checks for things such as accessibility and performance issues on websites. I'd like to scan the top N visited pages of a website (in e.g. the past month or year).

Is there a service providing an API or data export that can tell me which pages are the most visited for a particular website? Similar to Alexa, but at the URL level for a website? Or maybe Alexa already provides this and I'm not aware?

I know I can probably use Google Analytics' API for this, but I'm looking for something that can tell me this without having to be granted permission by each website if possible.

Thank you!