While The Brain’s plans always fail, in two episodes of Pinky and The Brain, Pinky comes very close to actually conquering the planet. In “Pinky’s Plan,” he invites all the world leaders to a party and then talks them into handing over control of their countries to The Brain. In “Pinky’s Turn,” Pinky creates an Oyster Petting Zoo that eventually becomes so successful that it results in President Bill Clinton appointing Pinky to a cabinet position.
In both of these episodes, Pinky’s plan goes surprisingly well, putting him within reaching distance of global domination. However, when he hands the reins over to The Brain, Brain fumbles and everything falls apart.
Plus Pinky can read and Brain can’t, canonically.