Here is the full list of all 31 Mail Mole achievements.
Complete Magma Rocks
Complete Spooky Swamp
Complete Dry Canyon
Beat Pukat's fourth machine
Recover all the power cells of the first tower
Complete Yeti Ridge
Purchase 20 outfits
Beat Pukat's third machine
Expand your world
Complete Coconut Island
Beat Pukat's second machine
Complete Ancient Temple
Purchase an outfit
Save 1000 carrots
Win a race against Mecha Moles
Meet Scarlett the Skunk
Complete Carrot Fields
Beat Pukat's first machine
Save 500 carrots
Get a gold medal
Save 300 carrots
Reopen Rick's Store
Finish the tutorial
Save Carrotland's Summer Festival
Recover all the power cells of the second tower
Recover all power cells, win all races, get all medals, buy all the clothes
Purchase all outfits
Win all the races against Mecha Moles
Find all the radishes
Get 15 gold medals
Get all gold medals