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