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