Here is the list of Call of Duty: Black Ops achievements / trophies that can be unlocked on both Xbox 360 and PS3. There are still 3 classified achievements, but the list will be updated as more information becomes available.
Ensure your squad escapes safely from Cuba.
Death to Dictators
Use a single round to bring down Castro.
Destroy all enemies on vehicles during the prison break.
Give me liberty, or give me death
Destroy all slingshot targets in 3 attempts.
Receive orders from Lancer.
A safer place
Sabatoge the Soviet space program.
Use no more than 6 TOW guided missiles to destroy the tanks in the defense of Khe Sanh.
Looks don't count
Break the seige in the battle of Khe Sanh.
Retrieve the dossier and the defector from Hue City.
Rack up a bodycount of 20 NVA using air support in Hue City.
The Dragon Within
Kill 10 NVA with Dragon's Breath rounds.
Use the Grim Reaper to destroy the MG emplacement.
Up close and personal
Silently take out 3 VC.
Use only dual wield weapons to escape Kowloon.
Destroy all targets and structures while making your way up the river.
Never get off the boat
Find the Soviet connection in Laos.
Guide the squad through the Soviet outpost without them getting killed.
Mr. Black OP
Enter the Soviet relay station undetected.
With extreme prejudice
Get to the POW compound in the Hind using only rockets.
Incinerate 10 enemies with the flamethrower attachment in the POW compound.
Escape the ship with 2:15 left on the timer in Veteran.
Some wounds never heal
Escape the past.
I hate monkeys
Kill 7 monkeys in under 10 seconds in the Rebirth labs.
Make it through the NOVA 6 gas without dying on Rebirth Island.
Crack the code.
Destroy both helicopters with one TOW guided missile from the deck of the ship.
BLACK OP MASTER
Complete the campaign on Hardened or Veteran difficulty.
Complete the campaign on any difficulty.
Kill 5 enemies with a single frag grenade.
Sally Likes Blood
Demonstrate killer economic sensibilities by taking down 3 enemies with a single bullet.
Use the explosive bolts to kill 30 enemies.
Down and Dirty
Complete "SOG" and "The Defector" on Veteran difficulty.
It's your funeral
Complete "Numbers," "Project Nova" and "Victor Charlie" on Veteran difficulty.
Complete "Operation 40", "Vorkuta", and "Executive Order" on Veteran difficulty.
Complete "Crash Site," "WMD" and "Payback" on Veteran difficulty.
Complete "Rebirth" and "Redemption" on Veteran difficulty.
Find all the hidden intel.
Watch a film or clip with a friend.
Finish 5 Wager Matches "in the money".
You can do it
Reach rank 10 in Basic Training.
In Zombie mode, buy every weapon off the walls in a single game.
Hands Off the Merchandise
Kill the Pentagon thief before it can steal your load-out.
Kill 6 zombies after getting shot by a Pack-a-Punched Crossbow bolt.
Access the terminal and battle the forces of the Cosmic Silverback in Dead Ops Arcade.
In Dead Ops Arcade, use a Speed Boost to blast through 20 or more enemies at one time.