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