Here is the full list of all 12 Tecmo Bowl Throwback trophies - there are 9 bronze, 2 silver and 1 gold.
Complete a pass (single player, no All-Star teams)
Gain 20 yards with a running play (single player, no All-Star teams)
Sack the opponent's Quarterback (single player, no All-Star teams)
Win a single player competition Season
QB passes for more than 300 yards during a match (manual, single player, no All-Star teams)
Same RB runs for more than 100 yards during a match (manual, single player, no All-Star teams)
Same WR catches for more than 150 yards during a match (manual, single player, no All-Star teams)
Win a ranked online match
Win a ranked online match by 18 points or more
Score a Touchdown on a kickoff return (single player, no All-Star teams)
Win a match without using passing plays (single player, no All-Star teams)
Make a 60 yard field goal (single player, no All-Star teams)