Beebe is well known for making one of the most memorable plays in Super Bowl history during XXVII against the Dallas Cowboys. In the game's fourth quarter, Cowboys defensive tackle Leon Lett recovered a Bills fumble and advanced the ball toward the end zone. However, Lett began to celebrate prematurely by holding the ball out to his right side. Although the Bills were losing 52–17 at the time, a relentless Beebe streaked down the field and knocked the ball out of Lett's hands just before he crossed the goal line. The loose ball went through the end zone and out of bounds for a touchback and prevented a Dallas touchdown, which would have given them a Super Bowl-record 58 points, plus an extra point kick. Beebe also caught two passes for 50 yards, including a 40-yard touchdown reception from Frank Reich earlier in the game.