If you want this trophy, you can only use 1 (one) quarterback on the team you are playing as. Start up a quick play game on Rookie difficulty and play as the New Orleans Saints so you can use the awesome quarterback Drew Brees.
A perfect passer rating is 158.3. To obtain this silly number, you must have at least a 77.5% completion rate and at least 12.5 yards per attempt. You also will need a minimum of 1 touchdown and zero interceptions.
Will one pass play from 13 yards out for a touchdown count? Yes. If you can pull off a 13 yard touchdown on a pass play and have that as your only attempt in the game, you can pop this trophy. Make sure you strictly run the ball on every other offensive possession.
Trophy will pop at the end of the game!