Here is the full list of all 25 Nuclear Arms Race achievements.
Win 20 times (ranked)
Win 50 times (ranked)
Win 100 times (ranked)
Win 500 times (ranked)
Win 1000 times (ranked)
Has reached a score of 10 (ranked)
Has reached a score of 50 (ranked)
Has reached a score of 100 (ranked)
Has reached a score of 500 (ranked)
Has reached a score of 1000 (ranked)
+9 to the score in 24H (ranked)
+12 to the score in 24H (ranked)
+18 to the score in 24H (ranked)
Win for the first time (ranked)
Playing ranked for the first time (ranked)
End the game with peace 5 times (ranked)
End the game with peace 15 times (ranked)
End the game with peace 30 times (ranked)
Finish the tutorial
Play once with the snow map (DLC "Supporter pack")
Attend your first atomization (DLC "Supporter pack")
Defeat AI at the easy level
Defeat AI at the normal level
Defeat AI at the hard level
Defeat AI at the extreme level