Operation Desert Storm took place during the Persian Gulf War, and it was an attack in response to Iraq's invasion of Kuwait.
Iran-Iraq War, as the name suggest, was a war between Iran and Iraq. Iraq wanted to take advantage of the recent Iranian Revolution to replace Iran as the dominant state in Persian Gulf. In this period Iran violated sanctions against them, that intended to prevent them from getting weapons such as aircraft and tanks. So Iran-Iraq War is related to violation of sanctions.
The Kurdish Genocide was an Iraqi attack with an estimated 50,000 to 200,000 people death toll. It took place during the 2003 Iraq War.
