Here is the full list of all 32 Nom Nom Galaxy trophies - there are 12 bronze, 14 silver, 5 gold and 1 platinum.
Congratulations!
Earn a medal in 5 co-op challenges
Earn a medal in 20 Challenges
Unlock All Astro Pins
Earn a medal in 10 Challenges
Create a factory with every type of robot
Create and ship the legendary 'Nutrient Nova' soup
Defeat all rival soup companies in the campaign
Unlock all available upgrades
Defeat 5 Queens
Use the Hopper EX to kill a Shroomba
Earn a medal in 5 Challenges
Create a factory with 5 soup machines that do not use any of the same ingredients
Create a 100 piece factory in Conquest or S.O.O.P. Sim
Discover 100 different flavours of soup
Spend over 100,000 gold
Unlock 40 Astro Pins
Unlock the third Gravlock
Earn a medal in all Challenge types
Achieve an Elite medal in any Challenge
Discover 50 different flavours of soup
Unlock the second Gravlock
Help ship 100 cans of soup for other players
Eat 10 different ingredients
Complete 5 days in other players games
Unlock 10 Astro Pins
Chew 5 Galactic Gums at once
Unlock the first Gravlock
Play the game at 11:11
Defeat your first rival soup company
Blend and ship your first soup
Complete the tutorials