The one indelible NFL memory I have, and what made me a fan for life, was in the Epic in Miami game, Chargers V Miami 1982. The play was Kellen Winslow Sr blocking a Miami FG to send the game to overtime, which the Chargers eventually won.
The play alone is good enough--blocking a game-winning FG to force overtime in the playoffs--but what makes it epic is everything that came before it. Winslow put up one of the single greatest games I've ever seen, even now. Suffering from numerous injuries and dehydration, Winslow put up these epic #'s: 13 catches for 166 yards, a TD, and a blocked FG, a record that stood for 30 years until 2012 when Vernon Davis eclipsed it.
Seeing Winslow carried off the field, towel draped over his head, was an image a 12 year old kid doesn't forget.
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When they checked him in the locker-room afterward he had a 105 degree temperature and had lost 13 lbs. Simply one of the best games I've ever seen (was a huge Charger fan when Coryell was the coach), coupled with one of the most incredible individual performances before or since.
Said Coryell: "I have coached for 31 or 32 years and this is tremendous...There has never been a game like this. It was probably the most exciting game in pro football history."