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