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