Genesis Does What Nintendon’t ad campaign was a marketing campaign launched by Sega in the late 1980s and early 1990s to promote the Sega Genesis console. It was designed to differentiate the Genesis from its main rival, the Nintendo Entertainment System (NES), and highlight the unique features of the Genesis, such as its faster processing power and ability to display graphics in multiple colors.
The font used in the poster's slogan is likely Extension RR Extra Bold, which Les Usherwood originally created for Red Rooster. Extension is a commercial typeface that comes in different weights. You can view more details about it here.