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™
Earn 50 'CHECKMATE!' Medals
Perform a 'VOMIT COMET' action
Superstar - Max out your Superstar Rating
Superstar - Win the Founders' Trophy
Personalise all 12 Characters
Personalise all 8 Classes
Collect 250 or more Gear Items
Earn 5 Ubertags
Earn 100 Gold 'GAME TIME' Medals
Superstar - Unlock 'Superstars'
Perform 1000 'NEAR ALLY' actions
Play 10 LOCKDOWN Matches
Reach player Level 30
Superstar - Unlock 'Snowbound'
Feature in the player spotlight 10 times
Earn 50 'HUNTER' Medals
Play 10 COUNTDOWN Matches
Play 10 SWITCH Matches
Play 10 OVERDRIVE Matches
Reach player level 15
Superstar - Unlock 'Starpower'
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