"Magic powers are special, you must find your own. You stole someone else's and now must atone. When people look upon you, they won't know who you are. You must seek out your own magic; you'll find it isn't far!"
― The Wizard (Mickey's 60th Birthday)
The power to conceal the identity of oneself and/or others. Sub-power of Identity Manipulation.
Eobard Thawne/Reverse-Flash (Arrowverse) constantly vibrates his body and vocal cords to protect his identity.
The Batsuit (DC Comics) is equipped with various means to conceal Batman's identity...
...such as lead lining in the cowl to protect against X-ray vision...
...a voice modulator to disguise his voice....
...and a taser device to deter others from forcibly removing his mask.
In the pre-Crisis universe, Kal-El/Superman (DC Comics) concealed his identity as Clark Kent by using Hypnotic Vision to alter the way he was perceived by others.
The Laughing Man (Ghost in the Shell) can hack the cyberbrains of others to conceal his identity, preventing eyewitnesses and cameras alike from seeing his face.
At Peter Parker/Spider-Man's request, Doctor Strange (Marvel Comics) erased the knowledge of his true identity of Peter Parker from the memories of everyone in the world...
...while including a Psychic Blindspot that prevents people from deducing his secret identity unless he is unmasked in front of them...
...even before that, Spider-Man's spider-sense helped to further conceal his identity by warning him if he was being watched while unmasking or suiting up.
Jake Gallows/Punisher 2099 (Marvel Comics) possesses "face scrambler" technology that conceals his identity on digital cameras.
As punishment for using his magic hat, the Wizard (Mickey's 60th Birthday) placed a curse on Mickey Mouse so that no-one would recognize him when they saw him.
Icon and Rocket (Milestone Media/DC Comics) have a digital scrambler that keeps their identities hidden and unnoticed by any technology or cameras.
Wrench's (Watch Dogs) mask keeps his identity hidden from any CTOS facial recognition.
Dedsec (Watch Dogs) has a face scrambler for each of their members to keep their identities hidden.
The Shadow (The Shadow) conceals his identity by manipulating his vocal cords.
Michael Holt/Mister Terrific's (DC Comics) T-Mask allows him to be invisible to technology and electronic detection, making machines not being able to see him, record him, or hear him that Batman and Brother Eye has a hard time seeing him.