Here is the full list of all 47 HOMEFRONT [Alpha] achievements.
From the front door of the church, make it to the crow’s nest in 240 seconds in Chapter 5: Heartland
Complete chapter 1 in the Single Player Campaign
Complete chapter 2 in the Single Player Campaign
Complete chapter 3 in the Single Player Campaign
Complete chapter 4 in the Single Player Campaign
Complete chapter 5 in the Single Player Campaign
Complete chapter 6 in the Single Player Campaign
Complete chapter 7 in the Single Player Campaign
Complete chapter 1 on the Hardest Difficulty in the Single Player Campaign
Complete chapter 2 on the Hardest Difficulty in the Single Player Campaign
Complete chapter 3 on the Hardest Difficulty in the Single Player Campaign
Complete chapter 4 on the Hardest Difficulty in the Single Player Campaign
Complete chapter 5 on the Hardest Difficulty in the Single Player Campaign
Complete chapter 6 on the Hardest Difficulty in the Single Player Campaign
Complete chapter 7 on the Hardest Difficulty in the Single Player Campaign
Complete chapter 1 in the Single Player Campaign without dying or restarting a checkpoint
Complete chapter 2 in the Single Player Campaign without dying or restarting a checkpoint
Complete chapter 3 in the Single Player Campaign without dying or restarting a checkpoint
Complete chapter 4 in the Single Player Campaign without dying or restarting a checkpoint
Complete chapter 5 in the Single Player Campaign without dying or restarting a checkpoint
Complete chapter 6 in the Single Player Campaign without dying or restarting a checkpoint
Complete chapter 7 in the Single Player Campaign without dying or restarting a checkpoint
Find 30 of 61 News Pickups in the Single Player Campaign
Find all 61 News Pickups in the Single Player Campaign
Kill 25 enemies with a pistol in Chapter 1: Why We Fight
Kill 25 enemies with melee attacks in Chapter 1: Why We Fight
Talk at least once to each inhabitant of Oasis in Chapter 2: Freedom
Destroy the first sentry without taking any damage in Chapter 2: Freedom
Kill 5 enemies while they are on fire in Chapter 3: Fire Sale
Don't kill any of the enemies that are on fire in Chapter 3: Fire Sale
Complete the street section without Goliath taking any damage in Chapter 4: The Wall
Jump off the Golden Gate Bridge in Chapter 7: Golden Gate
Find the first of 61 news pickups
Hijack the tankers in less than 8 minutes in one life in Chapter 6: Overwatch
Destroy all the SAM trucks in the level in Chapter 6: Overwatch
Knock 10 enemies off of the scaffolding during the helicopter fly-in in Chapter 7: Golden Gate
Destroy all vehicles using the UAV in Chapter 7: Golden Gate
Complete an expert challenge for any weapon in Multiplayer
Complete an expert challenge for any drone in Multiplayer
Complete an expert challenge for any vehicle in Multiplayer
Complete all challenges for weapons, drones, vehicles, and modes in Multiplayer
Reach experience level 50 in Multiplayer
Become a 3-Star threat in a Battle Commander public match
Become a 5-Star threat in a Battle Commander public match
Successfully examined 5 enemy corpses
Killed 5 enemies from the second seat of the Apache in one run.
Bailed out of a helicopter, killing an enemy with the falling wreckage.