Here is the full list of all 20 Broken Bots trophies - there are 19 bronze and 1 silver.
Play 50 games
Drop a turret near your flag
Win 10 games
Survive 10 waves in survival mode
Capture 10 flags
Kill 100 enemies
Cause a massive malfunction
Hack the enemy generator
Absorb enemy bullets with your shield
Score 100 hill points
Kill 50 enemies
Kill 10 enemies while malfunctioning
Cause a malfunction with an EMP
Play on every team
Obtain the highest score at the end of a game
Trigger an enemy mine
Kill 10 enemies
Snipe an enemy from a great distance
Score a hill point for your team
Capture the enemy flag