Looks like it's primarily aimed at apps but it also mentions websites.
I'm not sure how privacy respecting it is but I expect to see more privacy ad opportunities starting up in the near future.
https://sublimeads.com
He's also behind micro.blog which seems sort of like your sort of thing (if it were FOSS, I would say very much your sort of thing)
He works for Micro.blog but he is not the founder/owner of Micro.blog. I think he's been making apps for MB.
I use Micro.blog for my personal blog which is how I ran across sublimeads. MB has a nice blogging platform and social network which is why I like it.
Added:
I know nothing about the ad network. But I have been on the lookout for privacy ads to start up so it caught my eye.