Here is the full list of all 19 Lightning: D-Day achievements.
Deploy all inactive forces from a beach before the end of Turn 1.
Destroy 3 enemy forces before the end of Turn 1.
Destroy 4 enemy forces on the same beach in the same turn.
Destroy an enemy force without engaging in combat.
Discard 5 friendly cards or forces in the same turn.
Play 10 cards on the same beach in the same turn.
Play 5 cards on the same beach in the same turn without engaging in combat.
Play Chaos 2 times on the same card.
Stack 9 active forces on the same beach.
Stack a combat rating of 25.
Win an online game as the Allies.
Win an online game as the Axis.
Win as the Allies with no active Axis forces left on 3 beaches.
Win as the Allies with no active Axis forces left on 4 beaches.
Win as the Allies with no active Axis forces left on any beaches.
Win as the Axis with active forces left on 3 beaches.
Win as the Axis with active forces left on 4 beaches.
Win as the Axis with active forces left on all beaches.
Wipe out all enemy forces before the end of Turn 4.