Here is the full list of all 33 Carrier Deck achievements.
Complete NA all missions with five stars
Awarded on first sinking of your own Carrier
Complete NA01 mission with five stars
Awarded after 20 successful air missions
Awarded after 50 successful air missions completed
Awarded after 10 successful AMP missions
Awarded on achieving five stars in every mission of any ocean, except NA
Complete all ARC missions with at least four stars on each mission
Complete the entire Campaign with at least four stars on every mission
Complete the entire campaign with five stars on every mission
Awarded after unloading 30 cargo pallets
Awarded after destroying 15 any enemy vessels/aircraft
Awarded when destroying more than 8 Ground targets in any one game
Awarded when destroying more than 8 Submarines in any one game
Awarded when four enemy battleships have been sunk
Awarded after using the Harrier in 20 missions of any type
Complete all IND missions with at least four stars on each mission
Complete all MED missions with at least four stars on each mission
Complete all NP missions with at least four stars on each mission
Awarded after using the Osprey in 20 missions of any type
Awarded when completing Quick Game on Admiral level
Awarded when completing Quick Game on Captain level
Awarded when a Cruiser, Battleship and Aircraft Carrier are sunk in any game
Complete all SA missions with at least four stars on each mission
Complete all SC missions with at least four stars on each mission
Complete all SP missions with at least four stars on each mission
Awarded after 15 successful SPE missions
Awarded when lasting longer than 20 minutes in any Survival game
Awarded when lasting longer than 30 minutes in any Survival game
Awarded when surviving longer than 20 min on Survival Admiral level
Awarded when surviving longer than 30 min on Survival Admiral level
Awarded if more than three successful RES missions in any game
Awarded when two enemy aircraft carriers are destroyed