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