Full list of all 58 DmC: Devil May Cry achievements. It takes around 25-30 hours to unlock all of the achievements in the base game on Windows.
The base game contains 48 achievements, and there is 1 DLC pack containing 10 achievements.
Spend 50,000 Red Orbs
Find all of the Keys
Complete all missions on the Hell and Hell difficulty
Complete all missions on the Nephilim difficulty with a SSS rank
Upgrade Dante's health to maximum
Gain a 100% completion rank on all missions (difficulty doesn't matter)
Complete all missions on the Dante Must Die difficulty
Open all of the Secret Doors
Slay 5,000 Demons
Complete all of the Secret Missions
Spend 10,000 Red Orbs
Complete all missions on the Heaven or Hell difficulty
Kill 100 enemies using nothing but Demon weapons
Help Vergil open the Vault
Earn 1,500 Style Bonuses
Defeat Mundus
Complete the final mission on Human, Devil Hunter or Nephilim difficulty
Complete Furnace of Souls without taking damage from the furnace
Navigate the Sky Bridge on Mission 16 without hitting the lasers
Defeat your pursuer
Purchase all of Dante's combat upgrades
Free all of the Lost Souls
Acquire Revenant
Complete all missions on the Son of Sparda difficulty
Slay 1,000 Demons
Acquire Kablooey
Survive the encounter with the Tyrant
Upgrade Dante's Devil Trigger to maximum
Kill 10 enemies by pushing them into the Hurricane ride on Mission 1
Help Phineas retrieve his eye
Reach the end of the descent on Mission 6 having killed all of the enemies
Slay 100 Demons
Acquire Arbiter
Defeat Mundus' spawn
Free half of the Lost Souls
Acquire Aquila
Kill 100 enemies using nothing but Angel weapons
Complete 10 Secret Missions
Gain a SSS Style Rank during combat
Complete a mission with a SSS rank
Acquire the Devil Trigger ability
Complete a level with 2 minutes or less on the clock
Acquire Osiris
Acquire Eryx
Complete a level without taking any damage
Kill 50 enemies using nothing but firearms
Acquire the Angel Boost ability
Purchase your first upgrade
Complete all missions in Vergil's downfall on the Nephilim difficulty with a SSS rank
Gain a 100% completion rank on all missions in Vergil's downfall (difficulty doesn't matter)
Complete Vergil's downfall on Heaven or Hell difficulty
Complete Vergil's downfall on Hell and Hell difficulty
Complete Vergil's downfall on Son of Sparda difficulty
Complete Vergil's downfall on Vergil Must Die difficulty
Acquire all of Vergil's health, Devil trigger and combat upgrades
Defeat a Wisp
Complete Vergil's downfall
Defeat an Imprisoner