Here is the full list of all 16 Project:Solace achievements.
Cook food for the first time
Obtain the shotgun
Unlock all skills
Equip an enhancement
Gain a discount at the shop
Saved Lucy
Help the EMMA(s)
Escape the island
Destroy 3 monsters with one trap
Collect all luxury items
Collect all keycards
Use an upgrade kit
Craft an item
Explode a monster to damage another monster
Unlock your first skill
Visit all the fishing holes on the island