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