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