Here is the full list of all 9 Kitten Squad achievements.
Rescue 100 sheep.
Rescue each type of sea creature.
Defeat the Sheep Puncher.
Loot 20,000 career gold.
Equip one of each type of cosmetic item.
Completed three bounty quests.
Rescue Olivia the Orca.
Completed a story quest.
Find all the weapons.