Vigilantes

Vigilantes are people who voluntarily carry out duties usually done by Pro Heroes without paying attention to the law.

Due to the hero regulations and Quirk restriction laws, people are not allowed to perform heroic duties out on their own and vigilantism is therefore illegal.

History
The origins of heroes can be traced back to the vigilantes. When Quirks started to manifest, there was no organization that controlled the Pro Heroes and they were therefore vigilantes.

The Pro Hero System was first put into place in Rhode Island, U.S.A. under the "Rhode Island New State Statute"; one hundred and eighty-nine vigilantes were affected by this statute, with only seven being accepted as official Pro Heroes. Nowadays most of the vigilantes have vanished.

However, Knuckleduster, Pop☆Step, and The Crawler had been regularly active in their activities to help people and dispense justice as vigilantes. Eraser Head stated that the Pro Heroes had never taken action against them and left those three be so long they do not abuse their Quirks and go on a rampage.

Tenya Ida, Izuku Midoriya, and Shoto Todoroki technically acted as vigilantes during their battle with Hero Killer: Stain.

With Tomura Shigaraki and All For One actively targeting Izuku for his Quirk, the student decided to leave U.A. High School while still continuing to do hero work illegally (speculation; his Provisional Hero License is unconfirmed to it's validity).