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