| 1983 | Received second most votes in bid for the Heisman Memorial Trophy |
| 1986-87, 1989, 1991, 1993-94, 1996-98 | NFL Pro Bowl |
| 1987 | NFL Player of the Year |
| 1993 | American Football Conference's (AFC) Player of the Year |
| 1998 | Won Super Bowl XXXII over the Green Bay Packers; 31-24; selected as game's Most Valuable Player |
| 1999 | Won Super Bowl XXXIII over the Miami Dolphins, 38-3; inducted into Colorado Sports Hall of Fame |
| 2000 | Inducted into the College Football Hall of Fame |
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