Here is the full list of all 34 Final Fantasy X HD Remaster trophies - there are 20 bronze, 8 silver, 5 gold and 1 platinum.
Defeat Penance
Complete the Sphere Grids for all main characters
Defeat Yu Yevon
Complete a Sphere Grid for one character
Obtain all Jecht Spheres
View "Eternal Calm"
Defeat Nemesis
Defeat Seymour Omnis
Buy every sphere at the Luca Theater
Learn to use all enemy abilities
Deal 99999 damage with one attack
Obtain all Aeons
Obtain Magus Sisters
Obtain Anima
Unlock all slot reels
Obtain all Celestial Weapons
Win a blitzball tournament
Find all 26 Al Bhed Primers
Defeat Yunalesca
Spend 100,000 gil or more in bribes
Steal successfully with Rikku 200 times
Obtain Yojimbo
Win a race with a catcher chocobo with a total time of 0:0:0
Get 5 treasure chests during the Chocobo Race at Remiem Temple and win the race
Pass all chocobo training
View the "Underwater Date" scene
Do 9999 damage or more in a single attack
All party members come together
Win a blitzball match
Learn the Jecht shot
Clear the Besaid Cloister of Trials
Find 1 Al Bhed Primer
Obtain all available trophies
Dodge 200 lightning strikes and obtain the reward