Here is the full list of all 45 Final Fantasy VIII achievements. It takes around 100-120 hours to unlock all of the achievements on Windows.
Beat the Omega weapon
Kill 10000 enemies
Reach maximum Gil
Finish the game
Finish the game with Squall's initial level
Reach SeeD rank A
Learn all of Rinoa's limit breaks
Learn all of Quistis' limit breaks
Collect all cards
Unlock Guardian Force Eden
Reach level 100
Kill 1000 enemies
Reach maximum HP
Complete the Obel Lake side quest
Draw magic 100 times from draw points
Unlock Guardian Force Bahamut
Complete the PuPu side quest
Unlock Guardian Force Doomtrain
Unlock Guardian Force Cactuar
Acquired an item from Chocobo World
Reach level 100 with Boko
Find Ragnarok
Collect all Weapons Monthly/Combat King/Pet Pals/Occult Fan magazines
Upgrade your weapon
Collect all Timber Maniacs magazines
Unlock Guardian Force Alexander
Unlock Guardian Force Cerberus
Unlock Guardian Force Pandemona
Capture a Chocobo
Unlock Guardian Force Tonberry
Defeat every member of the CC Group
Unlock Guardian Force Leviathan
Lose a rare card in a Triple Triad game
Unlock Guardian Force Carbuncle
Unlock Guardian Force Brothers
Win 100 games of Triple Triad
Kill 100 enemies
Unlock Guardian Force Diablos
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