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