Here is the full list of all 21 Operation Warcade trophies - there are 6 bronze, 6 silver, 8 gold and 1 platinum.
Use a civilian as a shield to stop a knife
Kill 5 civilians in a game
Kill the driver of your own boat
Get 100 stars of story mode
Kill 2 soldiers with a mortar bullet
Get 6 kills with a single grenade
Get the double UZI
Go down to the arcade and hide until time passes without killing anyone
Get 50 stars of story mode
Showman
Matrix crack
Shoot down a helicopter by throwing an explosive barrel
Get 500k points
Get 300k points
Get a x20 streak
Get a x15 streak
Get 40 headshoots in a game
Get the titanimum UZI
Get a x10 streak
Warcade god
Kill a civilian with a bullet reflected in the UZI