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 Nephilim difficulty with a SSS rank
Complete all missions on the Hell and Hell difficulty
Slay 5,000 Demons
Complete all missions on the Heaven or Hell difficulty
Purchase all of Dante's combat upgrades
Complete all missions on the Dante Must Die difficulty
Spend 50,000 Red Orbs
Kill 10 enemies by pushing them into the Hurricane ride on Mission 1
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
Free all of the Lost Souls
Find all of the Keys
Complete Furnace of Souls without taking damage from the furnace
Navigate the Sky Bridge on Mission 16 without hitting the lasers
Upgrade Dante's health to maximum
Earn 1,500 Style Bonuses
Complete 10 Secret Missions
Slay 1,000 Demons
Complete a level without taking any damage
Complete a level with 2 minutes or less on the clock
Free half of the Lost Souls
Gain a SSS Style Rank during combat
Complete the final mission on Human, Devil Hunter or Nephilim difficulty
Defeat Mundus
Help Vergil open the Vault
Spend 10,000 Red Orbs
Acquire Kablooey
Kill 50 enemies using nothing but firearms
Complete a mission with a SSS rank
Defeat Mundus' spawn
Acquire Revenant
Kill 100 enemies using nothing but Angel weapons
Acquire Aquila
Acquire the Devil Trigger ability
Kill 100 enemies using nothing but Demon weapons
Help Phineas retrieve his eye
Acquire Eryx
Reach the end of the descent on Mission 6 having killed all of the enemies
Survive the encounter with the Tyrant
Acquire the Angel Boost ability
Slay 100 Demons
Acquire Osiris
Acquire Arbiter
Defeat your pursuer
Purchase your first upgrade
Complete all missions in Vergil's downfall on the Nephilim difficulty with a SSS rank
Complete Vergil's downfall on Hell and Hell difficulty
Complete Vergil's downfall on Heaven or Hell difficulty
Complete Vergil's downfall on Vergil Must Die difficulty
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 Vergil's downfall on Son of Sparda difficulty
Complete Vergil's downfall
Defeat an Imprisoner
Defeat a Wisp