Here is the full list of all 34 Final Fantasy VIII Remastered achievements worth 1,000 gamerscore.
Kill 1000 enemies
Finish the game
Beat the Omega Weapon
Draw magic 100 times from draw points
Unlock Guardian Force Doomtrain
Reach maximum HP
Unlock Guardian Force Eden
Unlock Guardian Force Tonberry
Unlock Guardian Force Cactuar
Complete the Obel Lake side quest
Unlock Guardian Force Bahamut
Collect all Timber Maniacs magazines
Complete the PuPu side quest
Capture a Chocobo
Find Ragnarok
Unlock Guardian Force Alexander
Unlock Guardian Force Cerberus
Reach SeeD rank A
Unlock Guardian Force Pandemona
Defeat every member of the CC group
Upgrade your weapon
Unlock Guardian Force Leviathan
Draw (Stock) magic from enemies 100 times
Unlock Guardian Force Carbuncle
Unlock Guardian Force Brothers
Kill 100 enemies
Get your first salary from SeeD
Unlock Guardian Force Diablos
Lose a rare card in a Triple Triad game
Unlock Guardian Force Siren
Unlock Guardian Force Ifrit
Play Triple Triad
Unlock Guardian Force Shiva
Unlock Guardian Force Quezacotl