The Kansas City Chiefs take on the Packers in Super Bowl I, Los Angeles, 1967. Green Bay won the game 35-10. See the complete gallery on LIFE.com. Bill Ray—Time & Life Pictures/Getty Images

Packers head coach Vince Lombardi, Super Bowl I, 1967. Bill Ray—Time & Life Pictures/Getty Images

Elijah Pitts (#22) running the Packers' "power sweep," Super Bowl I, 1967. Art Rickerby—Time & Life Pictures/Getty Images

Quarterback Len Dawson in the Chiefs' locker room, Super Bowl I, 1967. Bill Ray—Time & Life Pictures/Getty Images

Fred "The Hammer" Williamson led from the field at the end of the first Super Bowl, 1967. Williamson broke his arm during the game. Bill Ray—Time & Life Pictures/Getty Images