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