Here is the full list of all 14 Rush VR trophies - there are 11 bronze, 2 silver and 1 gold.
Grind for 60 seconds
Earn 500k points across all Score Challenge courses
Win Gold in every Race
Win Gold in all Misty Mountain Races
Win Gold in all Sunburst Canyon Races
Win Gold in all Frozen Alps Races
Win Gold in all Verdant Valley Races
Grind for 15 seconds
Come 1st in a Multiplayer Race
Come 1st in 5 Races
Beat your ghost in a Time Attack course
Fly through a waterfall
Thread the needle
Come 1st in any Race