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