Here is the full list of all 36 Dragon Ball FighterZ trophies - there are 20 bronze, 10 silver, 5 gold and 1 platinum.
Acquire all trophies.
Arcade - Complete the Snake Way Course.
Arcade - Complete the Extreme Gravity Spaceship Course.
Arcade - Complete the Hyperbolic Time Chamber Course.
Arcade - Complete a course with an S Rank.
Story - Complete the Super Warrior Arc.
Story - Complete the Enemy Warrior Arc.
Story - Complete the Android 21 Arc.
Story - Raise Link Level to 20.
Story - Raise Link Level to 40.
Story - Defeat Clone Kid Buu.
Story - Trigger a special conversation sequence.
Local Battle - Play a match.
Tournament - Emerge as champion.
Practice - Complete all battle tutorials.
Practice - Perform a combo that deals 5000 or more damage in Training Mode.
Practice - Complete 30 Different Combo Challenges.
Practice - Complete 100 Different Combo Challenges.
Practice - Complete 200 Different Combo Challenges.
World Match - Play a Ranked Match.
World Match - Play 10 Ranked Matches.
World Match - Play 20 Ranked Matches.
World Match - Acquire 530,000 BP.
World Match - Play 10 Casual Matches.
Arena Match - Play a match.
Arena Match - Play 10 matches.
Arena Match - Observe a match.
World Match - Play a Casual Match.
World Match - Play 20 Casual Matches.
Replay - Use a Z Stamp while watching a Replay Channel.
Acquire 5,000,000 Zeni throughout the course of playing.
Arena Match - Play 20 matches.
Acquire 20,000,000 Zeni throughout the course of playing.
Acquire 1,000,000 Zeni throughout the course of playing.
Complete a quest tutorial.
Complete seven or more quest tutorials.