Here is the full list of all 34 FINAL FANTASY VIII - REMASTERED achievements. It takes around 40-50 hours to unlock all of the achievements on Windows.
Beat the Omega Weapon
Kill 1000 enemies
Draw magic 100 times from draw points
Finish the game
Defeat every member of the CC group
Collect all Timber Maniacs magazines
Complete the Obel Lake side quest
Complete the PuPu side quest
Unlock Guardian Force Eden
Reach maximum HP
Unlock Guardian Force Doomtrain
Unlock Guardian Force Bahamut
Unlock Guardian Force Cactuar
Find Ragnarok
Unlock Guardian Force Tonberry
Unlock Guardian Force Alexander
Unlock Guardian Force Cerberus
Lose a rare card in a Triple Triad game
Capture a Chocobo
Reach SeeD rank A
Unlock Guardian Force Pandemona
Unlock Guardian Force Leviathan
Unlock Guardian Force Diablos
Unlock Guardian Force Carbuncle
Upgrade your weapon
Unlock Guardian Force Brothers
Kill 100 enemies
Get your first salary from SeeD
Unlock Guardian Force Siren
Play Triple Triad
Unlock Guardian Force Ifrit
Draw (Stock) magic from enemies 100 times
Unlock Guardian Force Shiva
Unlock Guardian Force Quezacotl