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