An individual could be placed under arrest for breaking the law.
Rosa Parks was arrested on the 1st December 1955 after famously refusing to give up her seat to a white passenger on a racially segregated bus in Montgomery, Alabama. This event was witnessed by the Thirteenth Doctor, Ryan Sinclair, Yasmin Khan, and Graham O'Brien and would lead to the Montgomery Bus Boycott that led to the end of racial segregation a year later. (TV: Rosa)
Thanks to the intercession of the temporarily miniaturised First Doctor and his companions, police were able to arrest corrupt industrialist Forester for the murder of Arnold Farrow in June 1969. (TV: Planet of Giants)
At Easter 2009, DI McMillan was on the case for arresting Lady Christina de Souza for robbery. The Tenth Doctor pretended to arrest himself inside a police box for aiding in her escape. (TV: Planet of the Dead)