Privacy Badger go beyond blocking cross-site cookies:
Privacy Badger comes with other advantages like cookie blocking, click-to-activate placeholders for potentially useful tracker widgets (video players, comments widgets, etc.), and outgoing link click tracking removal on Facebook and Google.
Privacy Badger can detect canvas-based fingerprinting, and will block third party domains that use it. Detection of other forms of fingerprinting and protections against first-party fingerprinting are ongoing projects. Of course, once a domain is blocked by Privacy Badger, it will no longer be able to fingerprint you.