Here is the full list of all 12 Tower of Guns trophies - there are 7 bronze, 4 silver and 1 gold.
Tilt 10 times in a row
Finish a 10th run
Finish the game (non uberwin)
Kill over 350 Enemies in a Single Level
Die while a Boss is Exploding
Beat a boss
Unlock a weapon
Unlock all the Perks
Jump and Remain Airborn for 45 Seconds
Unlock all the Guns
Finish a 50th run
Finish a 100th run