Here is the full list of all 31 Drive on Moscow achievements.
Reconnect a unit that was cut off from supply by the enemy, in Multiplayer or Computer Opponent modes
Cut an enemy unit off supply, in Multiplayer or Computer Opponent modes
Finish the Tutorial
Win any scenario against Konev
Win any scenario against Halder
Win Operation Typhoon scenario as Axis against Zhukov
Win At the Gates scenario as Axis against Zhukov
Win Zhukov's Counterattack scenario as Axis against Zhukov
Win The Moscow Campaign scenario as Axis against Zhukov
Win Operation Typhoon scenario as Soviet against Guderian
Win At the Gates scenario as Soviet against Guderian
Win Zhukov's Counter-Attack scenario as Soviet against Guderian
Win The Moscow Campaign scenario as Soviet against Guderian
Score an instant victory by taking Moscow in The Moscow Campaign against Zhukov
Score an automatic victory by surrounding Moscow in The Moscow Campaign against Zhukov
Obtain a draw in any scenario, while playing against any AI personality
Survive a combat with a lone 1 strength unit against at least 7 opposing strength points, in Multiplayer or Computer Opponent modes
Whle attacking, deal at least 10 damage in a single combat, in Multiplayer or Computer Opponent modes
Perform three combats in a single impulse, while playing Multiplayer or Computer Opponent
Cut supply of 50 units, in Multiplayer or Computer Opponent modes
Cut supply of 200 units, in Multiplayer or Computer Opponent modes
Destroy 100 Axis units, in Multiplayer or Computer Opponent modes
Destroy 250 Axis units, in Multiplayer or Computer Opponent modes
Destroy 500 Axis units, in Multiplayer or Computer Opponent modes
Earn 50 VP from holding 1 VP EVERY TURN Objective locations, in Multiplayer or Computer Opponent modes
Earn 250 VP from holding 1 VP EVERY TURN Objective locations, in Multiplayer or Computer Opponent modes
Earn 500 VP from holding 1 VP EVERY TURN Objective locations, in Multiplayer or Computer Opponent modes
Retake a Captured VP as Soviets, in Multiplayer or Computer Opponent modes
Complete your first Multiplayer game
Complete 10 Multiplayer games
Complete 100 Multiplayer games