Here is the full list of all 85 Act of Aggression - there are Reboot Edition achievements.
Win a skirmish game with the Cartel faction
Win a FFA game
Complete 10 achievements
Deploy a plane
Destroy 10 helicopters
Extract 500 aluminum
Play a FFA game
Get 10 POW in jail or in hospital.
Produce 50 units in a single game
Extract 5000$ from the banks
Take control of a bank
Add 5 friends (who must accept)
Add 1 friend (who must accept)
Reach level 5
Reach level 10
Reach level 20
Complete 30 achievements
Destroy 500 enemy units
Win a skirmish game with the US faction
Win a skirmish game with the Chimera faction
Win a skirmish game with each of the 3 factions
Launch a super weapon
Intercept an enemy super weapon
Extract 500 rare earth elements
Beat an Easy AI in a skirmish game
Beat a Medium AI in a skirmish game
Beat a Hard AI in a skirmish game
Play a ranked game
Win a multiplayer game with the US faction
Win a multiplayer game with the Chimera faction
Win a multiplayer game with the Cartel faction
Win a multiplayer game with each of the 3 factions
Play a skirmish game opposing 2 teams
Play a skirmish game opposing 3 teams
Play a skirmish game opposing 4 teams
Complete Chimera's 1st Episode
Complete Chimera's 2nd Episode
Complete Chimera's 3rd Episode
Complete Chimera's 4th Episode
Complete Chimera's 5th Episode
Complete Chimera's 6th Episode
Complete Chimera's 7th Episode
Complete Chimera's 8th Episode
Complete Chimera's 9th Episode
Complete Chimera's 10th Episode
Complete all Chimera's Episodes
Complete Cartel's 1st Episode
Complete Cartel's 2nd Episode
Complete Cartel's 3rd Episode
Complete Cartel's 4th Episode
Complete Cartel's 5th Episode
Complete all Cartel's Episodes
Win a game without taking any prisoners.
(The Hunt for Yao) Don't lose a single soldier during Yao's arrestation
(The Train Job) Good commanders don't need reinforcement
(Highway to Serbia) Don't lose a single truck you're tasked to protect
(Covert ops) Keep all your commando alive during the chinese operation
(Covert ops) Steal the equipement stored in a Cartel Outpost
(Covert ops) Kill one of the most powerful enemy prototype
(Sword of Damocles) M1 Abrams is reputed to be impossible to destroy, let the legend live on
(Into the Chimera's Lair) What are the Anteys used for? You should try them …twice
(Into the Chimera's Lair) A rain of fire from the sky is not enough for you to retreat
(Into the Chimera's Lair) The more we are, the stronger we become
(Countdown to Apocalypse) Don't waste the gifts you are given
(Countdown to Apocalypse) Neutralize all the hostile command centers in the Baïkonour Cosmodrome
(Countdown to Apocalypse) No time to waste, be quick, be efficient
(The American Civil War) Make sure there is no ressource left in the airbase stocks
(The American Civil War) Crush the rebels with their own stuff
(Mexican Stand-Off) You can play Chimera and US forces, is that all ?
(Mexican Stand-Off) One Shot, One kill... or much more
(Mexican Stand-Off) One single button for heavy damage
(Mexican Stand-Off) Use the Asgard power
(Mexican Stand-Off) Make a total annihilation for a mass effect
(Coup d'état) Do not hesitate, do not think, attack straight forward into the trap no matter the losses
(White Wolves Extinction) Every Soldier is important, take care of them
(White Wolves Extinction) Create an impassable wall of fire and steel
(White Wolves Extinction) He who knows when he can fight and when he cannot, will be victorious
(Backstab) Liberate all the prisonners held captive by the enemy
(Exodus) Prevent the enemy to cut your escape route
(Fall of Olympus) Manage to turn enemy facilities against him during the last strand
(Fall of Olympus) "My centre is yielding. My right is retreating. Situation excellent. I am attacking."
(Fall of Olympus) Defeat the most powerfull airforce in the world
Complete all of Chimera & Cartel's Episodes
(When the Wolves howl) Save every single wounded soldier in a desperate situation
(Highway to Serbia) Knock down a maximum of mortars in a defensive situation