Here is the full list of all 31 Jitsu Squad trophies - there are 22 bronze, 8 gold and 1 platinum.
Unlock all other Trophies
Defeat the heard of emaki ninjas on the roof of the dojo
Defeat Dash Kobayashi
Defeat Balthazar
Defeat Raven
Defeat Dash Kobayashi in the lava surfing stage
Defeat Frost
Defeat Slayer
Defeat Shade
Finish the game with Hero
Finish the game with Baby
Finish the game with Jazz
Finish the game with Aros
Get a combo chain of 75
Get a combo chain of 150
Get a combo chain of 250
Unlock all special moves for Hero
Unlock all special moves for Baby
Unlock all special moves for Jazz
Unlock all special moves for Aros
Perform a super special with Hero for the first time
Perform a super special with Baby for the first time
Perform a super special with Jazz for the first time
Perform a super special with AROS for the first time
Enter fury mode with Hero for the first time
Enter fury mode with Baby for the first time
Enter fury mode with Jazz for the first time
Enter fury mode with Aros for the first time
Get a parry chain of 100
Pickup the Yooka-Laylee assist
Turn a boss into a chicken