Here is the full list of all 16 Dead Dust achievements.
Pass first location
Pass second location
Pass third location
Pass fourth location
Pass fifth location
Kill 100 Indians
Kill 100 enemies with dynamite
Dead for 50 times
Dead for 100 times
Kill 1000 enemies with firearm
Kill 1000 enemies with melee weapons
Burn down 100 enemies with fire
Unlock the secret characters
Kill 100 bandits
Burn in sunlight 10 ghouls
Is to Make 5 purchases in the saloon