Here is the full list of all 18 Armikrog trophies - 15 bronze and 3 silver. It takes around 2-3 hours to unlock all of the trophies on PlayStation 4.
Beat the Game having solved all puzzles and find Hot Rod Zipkicker
Beat the Game
Solve the console puzzle in Emerald Room
Collect all P-tonium Pieces from P
Use all Father Statues
Start All 4 Engines
Pull lever to activate language translations
Solve 10 Puzzles
Solve the Robot Puzzle
Find the Hot Rod Zipkicker
Use Beak Beak to discover the Hall of Heroes Names
Solve the JeffersAnt Puzzle (give him the feather)
Solve 5 Puzzles
Read all of the stories in Hall of Heroes (click each of the 8 panels)
Solve the puzzle in the Scaley Room
Activate/enter the first Zipkicker
Find P
Watch all of the Mongrel window movies