Here is the full list of all 20 Arcade Game Series: Dig Dug achievements.
Clear any Round without digging!
Pass through an inflated enemy!
Crush 2 enemies with one rock!
Defeat an enemy on the surface.
Clear round 2!
Obtain the Turnip that appears after dropping 2 rocks in a certain Round.
Clear round 1!
Obtain the Carrot that appears after dropping 2 rocks in a certain Round.
Obtain the Mushroom that appears after dropping 2 rocks in a certain Round.
Obtain the cucumber that appears after dropping 2 rocks in a certain Round.
Obtain the Eggplant that appears after dropping 2 rocks in a certain Round.
Obtain the Green Pepper that appears after dropping 2 rocks in a certain Round.
Obtain the Tomato that appears after dropping 2 rocks in a certain Round.
Obtain the Watermelon that appears after dropping 2 rocks in a certain Round.
Obtain the Pineapple that appears after dropping 2 rocks in a certain Round.
Crush 4 enemies with one rock!
Defeat all enemies in a Round using rocks!
Dig through the entire area on any Round!
Dig 1000 spaces! (1 space is the same size as 1 character)
Defeat 100 enemies on a single playthrough!