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