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