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