Here is the full list of all 46 Medal of Honor: Airborne achievements worth 1,000 gamerscore.
Killed an enemy player while he was parachuting
Got 20 Team Points in a ranked match
Got over 10 Objective Points in a ranked match
Recovered full health after being in verge of death state
Killed an enemy with a melee kick
Completed Operation Husky
Killed an enemy while moving in iron sights
Killed three enemies with a cooked grenade
Crouch-sprinted between cover objects
Killed an enemy using sprint-melee
Touched down with a flared landing
Completed Jump Training
Touched down with a greased landing
Got pushed out of the plane
Got 10 Team Points in a ranked match
Killed an enemy with a pistol melee attack
Discover one skill drop location in each mission
Discover all skill drop locations in the game
Get 10 headshots in a row
Earn a 5-in-a-row
Kill an enemy by kicking a grenade at him
Fully upgrade one weapon
Fully upgrade five weapons
Fully upgrade all weapons
Complete any operation without dying
Complete Operation Avalanche
Complete Operation Neptune
Complete Operation Market Garden
Complete Operation Varsity
Complete Der Flakturm
Complete the game on Casual difficulty
Complete the game on Normal difficulty
Complete the game on Expert difficulty
Get over 1,000 kills and 500 Objective Points in ranked matches
Get over 500 kills and 250 Objective Points in ranked matches
Get over 20 first place finishes in ranked matches
Be on the winning team for every map in ranked matches
Get 20 kill assists throughout a career in ranked matches
Get over 20 top three finishes in ranked matches
Come in first place on every map in any game mode in ranked matches
Play every map at least once in a ranked match
Play 20 consecutive ranked matches without getting a team kill
Kill an enemy player with a grenade while he is parachuting
Upgrade all weapons in ranked matches