What is the offense committed if someone, while intoxicated, intentionally runs over another person, resulting in their death?

The offense committed in this scenario is intoxication manslaughter. This is because the act of intentionally running over another person while intoxicated demonstrates a reckless disregard for human life. Intoxication manslaughter specifically addresses situations where a person causes the death of another due to their intoxicated state, particularly while engaging in dangerous or illegal activities, such as operating a vehicle.

In this case, since the person was under the influence and also intended to run over the victim, it satisfies the criteria for recklessness leading to manslaughter. This distinguishes it from other types of homicide, such as intoxication homicide, which may imply a broader range of circumstances without the specific emphasis on intoxication and the act being a direct result of that intoxication.

Thus, the combination of intent and the condition of being under the influence of alcohol or drugs leads to the classification as intoxication manslaughter, as it reflects both the mental state and the resultant action that caused the death.