Here is the full list of all 47 Phoenix Point: Year One Edition achievements.
Deal with the Pandoran threat at any difficulty level
Complete Scylla Vivisection
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)
Complete all research projects of one faction
Manufacture an air vehicle
Kill a mindfragger with overwatch when it is jumping on someone's face
Survive an ambush mission
Build a facility of each type
Max out the base stats of a soldier
Kill 3 enemies in a single turn, with a single soldier, without explosives
Destroy Pandoran citadel
Kill a Siren when she has someone under mind control
Steal a research
Control 4 phoenix bases
Reach allied reputation with a faction
Destroy Pandoran lair
Sabotage haven zone facility
Evacuate a soldier who is bleeding
Reach aligned reputation with a faction
Steal an aircraft
Fully build up a base
Destroy Pandoran nest
Reach friendly reputation with a faction
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
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
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)
Raid haven zone facility
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)