Here is the full list of all 14 Distant Bloom achievements.
Gather all crew members
Use the Ascended Pillars for the first time
Pet a critter
Get the Shovel
Find the Hearthship
Unlock all Oasis doors
Explore all ruins and collect all broken artifacts
Fulfil all wishes for an NPC
Upgrade the ExoMulti to full capacity
Build every building
Revitalize all areas in the world
Cook all the recipes
Complete the main story (finalize the A CURE quest)
Find and collect all Crystalites