Here is the full list of all 34 Homeworld Remastered Collection achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
All Homeworld Classic Tutorial Missions Completed
Completed Homeworld Remastered Mission 16
Completed Homeworld Remastered Mission 14
Completed Homeworld Remastered Mission 15
Completed Homeworld Remastered Mission 12
Completed Homeworld Remastered Mission 13
Completed Homeworld Remastered Mission 10
Completed Homeworld Remastered Mission 11
Completed Homeworld Remastered Mission 9
Completed Homeworld Remastered Mission 7
Completed Homeworld Remastered Mission 8
Completed Homeworld Remastered Mission 4
Completed Homeworld Remastered Mission 5
Completed Homeworld Remastered Mission 6
Completed Homeworld Remastered Mission 1
Completed Homeworld Remastered Mission 2
Completed Homeworld Remastered Mission 3
All Homeworld 2 Remastered Tutorial Missions Completed
Completed Homeworld 2 Remastered Mission 1
Completed Homeworld 2 Remastered Mission 2
Completed Homeworld 2 Remastered Mission 3
Completed Homeworld 2 Remastered Mission 4
Completed Homeworld 2 Remastered Mission 5
Completed Homeworld 2 Remastered Mission 6
Completed Homeworld 2 Remastered Mission 7
Completed Homeworld 2 Remastered Mission 8
Completed Homeworld 2 Remastered Mission 9
Completed Homeworld 2 Remastered Mission 10
Completed Homeworld 2 Remastered Mission 11
Completed Homeworld 2 Remastered Mission 12
Completed Homeworld 2 Remastered Mission 13
Completed Homeworld 2 Remastered Mission 14
Completed Homeworld 2 Remastered Mission 15
Intercept the Turanic carriers and prevent them from reaching the safety of their planetary defenses.