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