Here is the full list of all 35 Final Fantasy VIII Remastered trophies - there are 14 bronze, 16 silver, 4 gold and 1 platinum.
Obtain all trophies
Finish the game
Kill 1000 enemies
Draw magic 100 times from draw points
Beat the Omega Weapon
Complete the Obel Lake side quest
Complete the PuPu side quest
Unlock Guardian Force Doomtrain
Unlock Guardian Force Eden
Collect all Timber Maniacs magazines
Unlock Guardian Force Cactuar
Unlock Guardian Force Bahamut
Reach maximum HP
Find Ragnarok
Reach SeeD rank A
Unlock Guardian Force Alexander
Unlock Guardian Force Cerberus
Unlock Guardian Force Pandemona
Capture a Chocobo
Lose a rare card in a Triple Triad game
Upgrade your weapon
Defeat every member of the CC group
Unlock Guardian Force Tonberry
Unlock Guardian Force Leviathan
Unlock Guardian Force Carbuncle
Unlock Guardian Force Brothers
Kill 100 enemies
Play Triple Triad
Unlock Guardian Force Diablos
Get your first salary from SeeD
Unlock Guardian Force Siren
Draw (Stock) magic from enemies 100 times
Unlock Guardian Force Ifrit
Unlock Guardian Force Shiva
Unlock Guardian Force Quezacotl