Here is the full list of all 17 VRobot trophies - there are 15 bronze and 2 silver.
Destroy the city "0043006900740079"
Destroy the city "3k"
Destroy the city "UltraMegaGigatron"
Destroy the city "Kilopolis"
Knock out SuperRobot 3000 with a heavy punch.
Disable SuperRobot 3000 by bashing his statue.
Destroy the city "08"
Destroy the city "C3D2"
Destroy the city "AI Rock"
Pick up running robo-citizen for the first time.
Destroy the city "Siri City"
Unlock the Tornado Maker. A devastating gun that spawns and controls tornados.
Destroy the city "Los Robos"
Destroy the city "All Humans"
Destroy the city "Gigabit"
Unlock the Tractor Beam to be able to pull and propel buildings.
Destroy the city "01"