Here is the full list of all 37 Shadows Over Loathing achievements.
Barker saved the universe
You passed all nine SIT courses (requires multiple playthroughs)
You destroyed Gobulon Prime
Obie saved the universe
You completed the game without fighting
You tuned a radio with your talented talons
You flushed every toilet
You drove enemies out of 23 Hilbert House rooms
You learned all nine Shadow skills
You bought a barrel
You unlocked every cat
You solved Mrs. Brewster's mystery
You posed for two different fedora pictures
Molly saved the universe
Gabby saved the universe
Adams saved the universe
Alphonse saved the universe
You won all the prizes at the Ocean City Boardwalk
You maximized morale in the Maize Maze
You found a fancy necklace
You made peace with the Fishmother
You ate a stuffed pepper
You met Largestmouth Luke
You got into the Secureberus vault
Simone saved the universe
You defeated the Ziggurat Goliath
You completed all of Don T's assignments
You closed the Time Loop
You got locked out of the universe because of a temporal paradox
You gave a tentacle ten tickles
You beat Jessica at chess
You executed a perfect heist
You received the hobo camp's highest honor
You helped the workers of Haim Quarry
You got a fully-decked out Monster Shack sash
You saved the village of Sandwich
You filled the gas can up ALL the way