The Vergil's Downfall Add-on for DmC: Devil May Cry has 10 achievements.
Complete Vergil's downfall on Hell and Hell difficulty
Complete all missions in Vergil's downfall on the Nephilim difficulty with a SSS rank
Complete Vergil's downfall on Vergil Must Die difficulty
Acquire all of Vergil's health, Devil trigger and combat upgrades
Complete Vergil's downfall on Heaven or Hell difficulty
Gain a 100% completion rank on all missions in Vergil's downfall (difficulty doesn't matter)
Complete Vergil's downfall on Son of Sparda difficulty
Complete Vergil's downfall
Defeat an Imprisoner
Defeat a Wisp