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
Unlock all slot reels
Obtain all Celestial Weapons
Win a blitzball tournament
Get 5 treasure chests during the Chocobo Race at Remiem Temple and win the race
Defeat Penance
Buy every sphere at the Luca Theater
Obtain all Jecht Spheres
Defeat Nemesis
Learn to use all enemy abilities
Complete the Sphere Grids for all main characters
Complete a Sphere Grid for one character
Obtain Magus Sisters
Obtain all Aeons
Deal 99999 damage with one attack
Defeat Seymour Omnis
Dodge 200 lightning strikes and obtain the reward
Spend 100,000 gil or more in bribes
Find all 26 Al Bhed Primers
Steal successfully with Rikku 200 times
Obtain Anima
Win a race with a catcher chocobo with a total time of 0:0:0
Pass all chocobo training
Defeat Yunalesca
Obtain Yojimbo
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