Here is the full list of all 35 Call of Duty: Black Ops II achievements. It takes around 30-35 hours to unlock all of the achievements on Windows.
Take down Menendez and his operation.
Gather intel on Raul Menendez from Mullah Rahmaan.
Complete 1 challenge in any level.
Investigate the jungle facility.
Rescue Woods.
Gather information on Raul Menendez' suspected terrorist plot.
Find the Karma weapon.
Capture Manuel Noriega and bring him to justice.
Capture Menendez.
Interrogate Menendez.
Escort the president to the secure location in downtown LA.
Stop Menendez once and for all.
Complete "Pyrrhic Victory", "Old Wounds", "Time And Fate", and "Suffer With Me" in Veteran.
Complete all future levels in veteran.
Complete all challenges in Black Ops II.
Complete all challenges in a level.
Successfully neutralize the SDC freighter at Keppel Terminal.
Successfully escort the VIPs to safety.
Successfully defend FOB Spectre from incursion.
Complete the campaign on Hardened or Veteran difficulty.
Successfully assassinate SDC Chairman Tian Zhao.
Successfully rescue HVI.
There are two futures.
Plastic surgery avoided.
A duel between rivals.
Listen and think before you shoot.
Reinforcements on the way.
Jailor or executioner.
Only one can survive.
Crack the celerium worm.
Collect all intel.
Use a future weapon in the past.
Stop the brutality inflicted by the PDF.
Complete a level with customized loadout.
Minimum score of 10k in every mission.