Third party cookies, and any way to fingerprint a specific user starting from high entropy user agents to screen resolution, font fingerprinting or canvas data, should be considered a breach of the browser security model.

All sites should run in containers and no advertiser should be able to track you across sessions. When I want 3rd party interaction, I should need to opt in and connect the current site with Facebook or some other 3rd party.

Anybody aware of any browsers making this a trivial workflow? Any comprehensive list of recommended plugins? Anything targeting mobile platforms?

Firefox's first-party isolation (brought across from Tor Browser) will foil cross-site tracking. Combined with Privacy Badger and Cookie Autodelete, your browser won't make the requests and even if they did, they wouldn't have any cookies attached.