Genesis (2) - September 13, 1956 - S1-E2
Corrected entry: At the end of this episode, Sam has leapt into the body of a baseball player and realizes he's there to win the game. Sam swings the bat but misses the ball three times. He should have been struck out, but instead run the bases, winning the game.
Correction: This episode employed the uncaught third strike rule (rule 6.05 and 6.09) if the back catcher fails to properly catch the third strike of the third strikeout (or if there's no runner on first), the batter becomes a runner and can pursue a home run, which is what Sam did.