Here is the full list of all 9 Kitten Squad trophies - there are 9 bronze. It takes around 3-4 hours to unlock all of the trophies on PlayStation 4.
Loot at least 20,000 Kitten Coins.
Rescue at least 100 sheep.
Defeat the Sheep Puncher.
Complete 3 bounty quests.
Rescue whales, dolphins, and sealions from Sealand.
Collect and use every base weapon in the game.
Purchase at least one type of every customization.
Complete a story quest.
Rescue Olivia from the imprisonment by Sealand.