Here is the full list of all 28 Dead Horde achievements.
Died 50x
Finish the map Junk Yard
Finish the campaign in Easy
Finish the map Military Base
Died 10x
Purchase all weapons in the campaign
Finish the map Highway
Bonus multiplier reached 100
Purchase all grenade types in the campaign
Finish the map Airport
Pickup 21 money packs
Finish the map Town
Kill 1000 mutants
Finish the map Harbor
Upgrade the assault rifle to the max in the campaign
Finish the map Village
Finish a mission in less than 12 minutes
Finish the map Depot
Finish the map Factory
Bonus multiplier reached 50
Bonus multiplier reached 10
Kill 10 mutants
Finish the campaign in Normal
Finish the campaign in Hard
Finish the campaign in Insane
Kill 5000 mutants
Kill 10000 mutants
Finish one mission in difficulty hard without being killed