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