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