Ikari III: The Rescue is a run & gun shoot 'em up by SNK. It was released for the Nintendo Entertainment System in 1990. The arcade version was later ported to the Nintendo Switch by Hamster as part of Arcade Archives
The screen is a top down view which scrolls vertically, with numerous bad guys to defeat. You start the game with just your fists, and as the levels progress you can find weapons and other objects to help you out.
The presidential candidate's child has been kidnapped by the terrorist organization Crime Ghost masterminded by Faust. Top officials have asked the 2 best soldiers to infiltrate Crime Ghost's base and liberate the child.