The term 'Big Name in Gaming' can be summarized by two crossword solutions: Harrah (6 letters) and Atari (5 letters). Harrah is a gaming and entertainment company founded in 1937 by William F. Harrah, which operates casinos, hotels, and seven golf courses. Atari is a pioneering video game company founded in 1972 by Nolan Bushnell and Ted Dabney, which created some of the earliest arcade games and home video game consoles.