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