Here is the full list of all 7 Table Top Tanks trophies - there are 2 bronze, 3 silver and 2 gold.
Win 5 multiplayer matches
Destroy 100 tanks using any game modes
Win one of each game type using Solo Creator
Bounce a rocket to destroy a tank
Destroy 3 tanks with 1 Air Strike in any mode
Create an arena with custom shapes and objects using Solo Creator
Complete all solo challenges