Here is the full list of all 9 Kitten Squad achievements.
Rescue 100 sheep.
Loot 20,000 career gold.
Rescue each type of sea creature.
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.