Here is the full list of all 22 Shut Up And Dig achievements.
Use the Skull
Meet the event
Complete the first world
Pick up Shupls gift
Earn 5000 gold
Kill the Alice
Kill the Bargainer
Pick up Plant gift
Destroy 1000 blocks
Pick up Golem gift
Destroy 500 blocks
Pick up Criple gift
Find the key without boss
Die for the first time
Pick up Pickaxe
Craft the first tool
Сraft the Golden Cross
Сraft the Big Bag
Kill the Anonym
Saddle the Slug
Drink some water
Find treasure