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