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