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