There are 12 Trophies that can be earned in this title.

Bronze

On the spot
Complete a pass (single player, no All-Star teams)

Can't catch me!
Gain 20 yards with a running play (single player, no All-Star teams)

Blind Sided
Sack the opponent's Quarterback (single player, no All-Star teams)

When pigs fly
QB passes for more than 300 yards during a match (manual, single player, no All-Star teams)

Razzle dazzle
Same RB runs for more than 100 yards during a match (manual, single player, no All-Star teams)

Better to receive…
Same WR catches for more than 150 yards during a match (manual, single player, no All-Star teams)

Who's next?
Win a ranked online match

QBs are overrated
Win a match without using passing plays (single player, no All-Star teams)

It's good!
Make a 60 yard field goal (single player, no All-Star teams)

Silver

Complete domination
Win a ranked online match by 18 points or more

Return to Sender
Score a Touchdown on a kickoff return (single player, no All-Star teams)

Gold

Tecmo Bowl Champ
Win a single player competition Season

http://www.ps3trophies.org/game/tecmo-bowl-throwback/trophies/