Here is the full list of all 16 RUSH achievements.
Get 1st in any Race
Get 1st in a multiplayer race
Grind for 15 seconds
Grind for 60 seconds
Thread the needle
Win Gold in all Verdant Valley Races
Win Gold in all Frozen Alps Races
Win Gold in all Sunburst Canyon Races
Win Gold in all Misty Mountains Races
Win Gold in every Race
Earn 500k points across all Score Challenge courses
Beat your ghost in a Time Attack course
Shoot a hoop
Open two cans at once
Get 1st in 5 Races
Fly through a waterfall