I've not seen the list yet myself.
I would tread carefully - its incredibly spoilerific and gives away huge plot points. Here's the list with the revealing story ones taken out:
Sacrifice -- Ensure your squad escapes safely from **** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Death to ***** -- Use a single round to ****** -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Vehicular Slaughter -- Destroy all enemies on vehicles during the ***** -- 25 Achievement Points (Xbox 360), Silver Trophy (PS3)
Give me liberty, or give me death -- Escape ***** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Slingshot Kid -- Destroy all slingshot targets in 3 attempts -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
VIP -- Receive orders from **** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
A safer place -- Sabatoge the ***** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Tough Economy -- Use no more than 6 TOW guided missiles to destroy the tanks ***** -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Looks don't count -- Break the siege in **** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
SOG Rules -- Retrieve the dossier and the *** from *** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Raining Pain -- Rack up a bodycount of 20 NVA using air support in **** -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
The Dragon Within -- Kill 10 NVA with Dragon's Breath rounds -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Heavy Hand -- Use the Grim Reaper to destroy the MG emplacement -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Up close and personal -- Silently take out 3 VC -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Double Trouble -- Use only dual wield weapons to ***** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Broken English -- Escape *** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Lord Nelson -- Destroy all targets and structures while making your way **** -- 25 Achievement Points (Xbox 360), Silver Trophy (PS3)
Never get off the boat -- Find the *** connection in *** -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Pathfinder -- Guide the squad through **** without them getting killed -- 5 Achievement Points (Xbox 360)0 Achievement Points (Xbox 360), Silver Trophy (PS3)
Mr. Black OP -- Enter the ***** undetected -- 5 Achievement Points (Xbox 360)0 Achievement Points (Xbox 360), Silver Trophy (PS3)
With extreme prejudice -- Get to the **** in the Hind using only rockets -- 25 Achievement Points (Xbox 360), Silver Trophy (PS3)
Russian bar-b-q -- Incinerate 10 enemies with the flamethrower attachment in the ***** -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Light Foot -- Escape *** with 2:15 left on the timer in Veteran. -- 30 Achievement Points (Xbox 360), Silver Trophy (PS3)
Some wounds never heal -- Escape the past -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
I hate monkeys -- Kill 7 monkeys in under 10 seconds in the **** -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
No Leaks -- Make it through the NOVA 6 gas without dying on ****-- 5 Achievement Points (Xbox 360)0 Achievement Points (Xbox 360), Silver Trophy (PS3)
Clarity -- Crack the code -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Double Whammy -- Destroy both helicopters with one TOW guided missile from the deck of the ship -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
BLACK OP MASTER -- Complete the campaign on Hardened or Veteran difficulty -- 10 Achievement Points (Xbox 360)0, Gold Trophy (PS3)
Stand Down -- Complete the campaign on any difficulty -- 35 Achievement Points (Xbox 360), Silver Trophy (PS3)
Frag Master -- Kill 5 enemies with a single frag grenade -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Sally Likes Blood -- Demonstrate killer economic sensibilities by taking down 3 enemies with a single bullet -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Unconventional Warfare -- Use the explosive bolts to kill 30 enemies -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Down and Dirty -- Complete "***" and "****" on Veteran difficulty -- 25 Achievement Points (Xbox 360), Silver Trophy (PS3)
It's your funeral -- Complete "****," "****" and "*****" on Veteran difficulty -- 25 Achievement Points (Xbox 360), Silver Trophy (PS3)
Cold Warrior -- Complete "****", "*****", and "****" on Veteran difficulty -- 25 Achievement Points (Xbox 360), Silver Trophy (PS3)
Not Today -- Complete "****," "****" and "****" on Veteran difficulty -- 25 Achievement Points (Xbox 360), Silver Trophy (PS3)
Burn Notice -- Complete "****" and "*****" on Veteran difficulty -- 25 Achievement Points (Xbox 360), Silver Trophy (PS3)
Closer Analysis -- Find all the hidden intel -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Matinee -- Watch a film or clip with a friend -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Gamblin' Fool -- Finish 5 Wager Matches "in the money" -- 20 Achievement Points (Xbox 360), Bronze Trophy (PS3)
You can do it -- Reach rank 10 in Basic Training -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
The Collector -- In Zombie mode, buy every weapon off the walls in a single game -- 20 Achievement Points (Xbox 360), Bronze Trophy (PS3)
CLASSIFIED -- CLASSIFIED -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Heres where it gets really interesting (and non campaign related)
Hands Off the Merchandise -- Kill the Pentagon thief before it can steal your load-out -- 20 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Pentagon thief? Stealing your loadout? That doesnt sound like a zombie to me, and its definitely not part of standard MP. Either there's another coop mode we're not being told about yet, or these zombies got really interesting.
Sacrificial Lamb -- Kill 6 zombies after getting shot by a Pack-a-Punched Crossbow bolt -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Shot by a what bolt? No zombies I know shoot back at you. Pack-a-Punched bolt sounds very whimsical....they went a bit off the deep end with the expansion to WaW zombies, so it seems like theyre not taking it too seriously?
"Insert Coin" -- Access the terminal and battle the forces of the Cosmic Silverback in Dead Ops Arcade -- 10 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Easy Rhino -- In Dead Ops Arcade, use a Speed Boost to blast through 20 or more enemies at one time -- 5 Achievement Points (Xbox 360), Bronze Trophy (PS3)
There's no mention of "Dead Ops" alone, just "Dead Ops arcade" - sounds like it could be a game room style arcade within the zombie mode, hence the dead part. Similar to "the lost viking" in SC2 or the arcade games in GTA. Also, notice the word enemies rather than zombies.
Perhaps there's some sort of hub world, or a separate menu selection? Wouldnt make sense to be playing arcade games in the middle of a standard zombie game.
CLASSIFIED -- CLASSIFIED -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
CLASSIFIED -- CLASSIFIED -- 15 Achievement Points (Xbox 360), Bronze Trophy (PS3)
Most likely achievements for reaching prestige IMO.