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