Here is the full list of all 33 ONRUSH trophies - there are 19 bronze, 7 silver, 6 gold and 1 platinum.
Earn 10 Crashtags
Superstar - Unlock 'Regeneration'
Reach player level 5
Perform a 'CRUSHED!' Takedown
Superstar - Unlock 'Uprising'
Superstar - Start 'Origins'
Smash 5 Tombstones in a single match
Rush for the first time
Takedown an opponent!
Introduce yourself to the fodder
Use boost for the first time
Obtain all trophies in ONRUSH™
Perform a 'VOMIT COMET' action
Personalise all 12 Characters
Personalise all 8 Classes
Play 10 OVERDRIVE Matches
Play 10 COUNTDOWN Matches
Play 10 LOCKDOWN Matches
Play 10 SWITCH Matches
Collect 250 or more Gear Items
Feature in the player spotlight 10 times
Earn 50 'HUNTER' Medals
Superstar - Unlock 'Starpower'
Reach player level 15
Earn 5 Ubertags
Perform 1000 'NEAR ALLY' actions
Superstar - Unlock 'Snowbound'
Superstar - Unlock 'Superstars'
Superstar - Win the Founders' Trophy
Earn 50 'CHECKMATE!' Medals
Reach player Level 30
Earn 100 Gold 'GAME TIME' Medals
Superstar - Max out your Superstar Rating