Apple implemented a feature in Safari last year that allows users to disable cross-site tracking. This was called Intelligent Tracking Prevention (version 1.1)
Intelligent Tracking Prevention 1.1
In June of last year, we announced Intelligent Tracking Prevention, or ITP. ITP is a privacy feature which detects…
Mozilla Firefox, likewise, has an option to turn on tracking protection and resist fingerprinting (through about:config)
Privacy/Privacy Task Force/firefox about config privacy tweeks - MozillaWiki
A result of the Tor Uplift effort, this preference isolates all browser identifier sources (e.g. cookies) to the first…
Firefox also has add-ons to prevent tracking cookies (such as Facebook ‘like’ buttons) from following you around. They are called containers -
Firefox Multi-Account Containers - Add-ons for Firefox
The Firefox Multi-Account Containers extension lets you carve out a separate box for each of your online lives - no…
Facebook Container - Add-ons for Firefox
What does it do? Facebook Container works by isolating your Facebook identity into a separate container that makes it…
What Apple has done with macOS Mojave is to build something akin to containers so that a website’s tracking ability is effectively sandboxed and left to users’ discretion. But yes, it’s limited to Safari users.
However it is also to be noted that, Tor Project is looking at integrating Tor directly into Firefox.
org/meetings/2018Rome/Notes/FusionProject - Tor Bug Tracker & Wiki
Fusion Project is basically an experiment right now, extra important to ensure that it works well, doesn't harm…
Hope this answer helps!