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
Beat the Omega Weapon
Draw magic 100 times from draw points
Complete the PuPu side quest
Reach SeeD rank A
Unlock Guardian Force Tonberry
Complete the Obel Lake side quest
Reach maximum HP
Unlock Guardian Force Eden
Unlock Guardian Force Bahamut
Unlock Guardian Force Doomtrain
Unlock Guardian Force Cactuar
Find Ragnarok
Collect all Timber Maniacs magazines
Unlock Guardian Force Alexander
Unlock Guardian Force Cerberus
Capture a Chocobo
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
Unlock Guardian Force Diablos
Lose a rare card in a Triple Triad game
Get your first salary from SeeD
Unlock Guardian Force Siren
Unlock Guardian Force Ifrit
Play Triple Triad
Unlock Guardian Force Shiva
Unlock Guardian Force Quezacotl