Here is the full list of all 11 Fast Draw Showdown trophies - there are 5 bronze, 5 silver and 1 gold.
Earn all of the Badges
Beat Wes Flowers
Get a fastest time of .50 or less for 20 shooters
Beat the tournament on the Sheriff difficulty
Get a draw time of .30 or less
Defeat all the shooters who come in pairs
Shoot off Junction Jack's lucky hat.
Finish either 2 player mode
Foul out
Beat your friend in a 2 player game 6-0
Defeat any shooter.