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