Here is the full list of all 87 Ancient Frontier achievements.
Have a ship with 1 Kill
Beat the first Alliance Mission
Complete the Tutorial
Beat the first Federation Mission
Retreat from a Mission
Retreat from 5 Missions
Beat a Simulator Mission
Beat 5 Simulator Missions
Beat 15 Simulator Missions
Beat a Bounty Mission
Beat 5 Bounty Missions
Beat 15 Bounty Missions
Beat 25 Bounty Missions
Beat 50 Bounty Missions
Beat 75 Bounty Missions
Asha meets the Vor
Stockpile 1000 Hydrium
Stockpile 2000 Hydrium
Stockpile 3000 Hydrium
Stockpile 1000 Energy
Stockpile 2000 Energy
Stockpile 3000 Energy
Stockpile 1000 Data
Stockpile 2000 Data
Stockpile 3000 Data
Purchase 1 Tech
Purchase 10 Techs
Purchase 25 Techs
Purchase 50 Techs
Purchase 100 Techs
Have a ship with 10 Kills
Have a ship with 25 Kills
Have a ship with 50 Kills
Have a ship with 75 Kills
Have a ship with 100 Kills
Beat Sector One of the Alliance Campaign
Beat Sector One of the Alliance Campaign on Veteran or harder difficulty
Beat Sector One of the Alliance Campaign on Epic difficulty
Beat Sector Two of the Alliance Campaign
Beat Sector Two of the Alliance Campaign on Veteran or harder difficulty
Beat Sector Two of the Alliance Campaign on Epic difficulty
Beat Sector Three of the Alliance Campaign
Beat Sector Three of the Alliance Campaign on Veteran or harder difficulty
Beat Sector Three of the Alliance Campaign on Epic difficulty
Beat Sector Four of the Alliance Campaign
Beat Sector Four of the Alliance Campaign on Veteran or harder difficulty
Beat Sector Four of the Alliance Campaign on Epic difficulty
Beat Sector Five of the Alliance Campaign
Beat Sector Five of the Alliance Campaign on Veteran or harder difficulty
Beat Sector Five of the Alliance Campaign on Epic difficulty
Beat the Alliance Campaign
Beat the Alliance Campaign on Veteran or harder difficulty
Beat the Alliance Campaign on Epic difficulty
Beat Sector One of the Federation Campaign
Beat Sector One of the Federation Campaign on Veteran or harder difficulty
Beat Sector One of the Federation Campaign on Epic difficulty
Beat Sector Two of the Federation Campaign
Beat Sector Two of the Federation Campaign on Veteran or harder difficulty
Beat Sector Two of the Federation Campaign on Epic difficulty
Beat Sector Three of the Federation Campaign
Beat Sector Three of the Federation Campaign on Veteran or harder difficulty
Beat Sector Three of the Federation Campaign on Epic difficulty
Beat Sector Four of the Federation Campaign
Beat Sector Four of the Federation Campaign on Veteran or harder difficulty
Beat Sector Four of the Federation Campaign on Epic difficulty
Beat Sector Five of the Federation Campaign
Beat Sector Five of the Federation Campaign on Veteran or harder difficulty
Beat Sector Five of the Federation Campaign on Epic difficulty
Beat the Federation Campaign
Beat the Federation Campaign on Veteran or harder difficulty
Beat the Federation Campaign on Epic difficulty
Unlock the Queen's Bounty
Unlock the Spitfire
Unlock Bladestar
Unlock the Executioner
Unlock The Nemesis
Unlock the Vengeance
Unlock the Hammerhead
Unlock the Chickadee
Unlock the Battle Axes
Unlock Gha'Khar
Unlock the Defiance
Unlock the Dauntless
Unlock Thu'lar
Unlock the Atlantia
Destroy the Pirate Base
Destroy the Vor Heart