Here is the full list of all 47 Phoenix Point: Year One Edition achievements.
Complete all research projects of one faction
Build a facility of each type
Steal an aircraft
Raid haven zone facility
Deal with the Pandoran threat at any difficulty level
Beat the game without allying with any faction
Complete Scylla Vivisection
Kill a mindfragger with overwatch when it is jumping on someone's face
Destroy Pandoran citadel
Kill a Siren when she has someone under mind control
Kill 3 enemies in a single turn, with a single soldier, without explosives
Kill 500 Pandorans (does not have to be in same game)
Destroy Pandoran lair
Manufacture an air vehicle
Cause an enemy to fall to its death
Max out the base stats of a soldier
Steal a research
Reach allied reputation with a faction
Sabotage haven zone facility
Fully build up a base
Reach aligned reputation with a faction
Control 4 phoenix bases
Beat a haven defense mission with no civilian deaths or no structural damage
Survive an ambush mission
Evacuate a soldier who is bleeding
Retrieve all resources from a scavenging mission
Reach friendly reputation with a faction
Build a base facility
Recruit a soldier
Destroy Pandoran nest
Complete a scan
Complete the tutorial
Manufacture an item
Deal with the Pandoran threat at hero difficulty level
Deal with the Pandoran threat at legend difficulty level
Complete all different game endings
Recruit a soldier of each class (don't have to be in the same game)
Trade for 10000 total resources
Scrap items worth 10000 total resources
Capture each type of Pandoran (don't have to be in the same game)
Manufacture an item of each type (don't have to be in the same game)
Complete all phoenix research projects
Complete all research projects (don't have to be in the same game)
Obtain solders of each dual class combination (don't have to be in the same game)
Mind control 3 enemies at the same time with the same priest
Use every character skill (don't have to be in the same game)
Reach allied reputation with all factions (don't have to be in the same game)