Here is the full list of all 31 Battle of the Bulge achievements.
Finish the Tutorial
Win any scenario against Monty
Win any scenario against Bradley
Win any scenario against Patton
Win any scenario against Von Rundstedt
Win any scenario against Dietrich
Win any scenario against Von Manteuffel
Win Race to the Meuse scenario as Axis
Win Battle of the Bulge scenario as Axis
Win The Endgame scenario as Axis
Win Luck of the Draw scenario as Axis
Win Bitter End scenario as Axis
Win Race to the Meuse scenario as Allies
Win Battle of the Bulge scenario as Allies
Win The Endgame scenario as Allies
Win Luck of the Draw scenario as Allies
Win Bitter End scenario as Allies
Obtain a draw in any scenario, while playing against any AI personality
Score an early victory in Battle of the Bulge scenario while playing against any AI personality
Take back Bastogne while playing as Allies in Computer Opponent mode
Capture Bastogne while playing as Axis in Computer Opponent mode
Win the game as Allies with the 106th Infantry still alive
Enter Bastogne with the 101st Airbourne
Cross the Meuse as Axis
Take Namur as Axis
Exit 1st SS Panzer from the map
Hold Bastogne until The Bitter End as Allies
Hold Bastogne at the end of a Race to the Meuse game as Allies
Win the Game as Allies with 0VP or less on the Axis score
Win as Axis with 50VP+
Win as Axis with 100VP+