Here is the full list of all 18 The Big Elk achievements.
Find and destroy ten geese!
Find the Golden Crown!
Collect ten rockets!
Find the Yellow Ball!
Zone X must be completed!
Find and destroy the fake cow!
Zone IX must be completed!
Zone VIII must be completed!
Zone VII must be completed!
Zone VI must be completed!
Collect ten cakes!
Zone V must be completed!
Zone IV must be completed!
Zone III must be completed!
Zone II must be completed!
Find and destroy the red button!
Zone I must be completed!
Beat the slot machine!