Arrested

The police have been known to arrest burglars but they do not arrest playable Sims in The Sims or The Sims 2.

When a Sim calls a false alarm to the police they get a warning or fined. The police will also pick up runaway teens and return them home.

The Sims 3
You can get arrested on The Sims 3 if you work in the criminal career. While in jail, you can choose to sit there, work out, meet friends, or play dominoes. Children and Teens may also be picked up by the police for staying out past curfew, but this isn't quite the same as being arrested. The child is simply taken home rather than taken to the jail.