Here is the full list of all 88 Super Arcade Racing achievements.
Defeat Hammer
Jump for 10 Meters
Upgrade all parts to V7 Level
Defeat Shadow
Defeat Lightning
Run with 5 different car bodies
Upgrade all parts to V6 Level
Defeat Shark
Win 20 races in a row in Story Mode
Win 10 races in a row in Story Mode
Win a race within the last 50 meters
Win 5 races in a row in Story Mode
Upgrade all parts to V5 Level
Upgrade all parts to V4 Level
Defeat The Rock
Upgrade all parts to V3 Level
Finish third in a race
Defeat IceMan
Drift for 4 seconds
Win without touching opponents
Discover a secret level
Defeat Cannonball
Unlock Multiplayer
Upgrade all parts to V2 Level
Upgrade the Aerodynamics
Jump for 5 Meters
Change the colour of your car
Defeat Kurt
Upgrade the Engine
Win by touching all opponents
Drift for 2 seconds
Upgrade the Gears
Upgrade the Tyres
Finish second in a race
Use the turbo for the first time
Upgrade the Exhaust
Chain two turbos
Win a race
Win a race within the last 100 meters
Drift for 6 seconds
Jump for 20 Meters
Knock down all the elements of a level
Complete a secret level
Complete all secret levels
Play a Super Arcade Level
Win a Super Arcade race
Complete all Super Arcade levels
Finish all the snow stages
Finish all the stages in the forest
Finish all the stages in the canyon
Finish all the city stages
Finish all the F1 stages
Run with 10 different car bodies
Run with 15 different car bodies
Run with 20 different car bodies
Build a car with 3 different parts
Upgrade all parts to V8 Level
Upgrade all parts to V9 Level
Upgrade an item to its maximum level
Upgrade the engine to its maximum level
Upgrade the gears to their maximum level
Upgrade the tyres to their maximum level
Upgrade the exhaust to its maximum level
Upgrade the aerodynamics to its maximum level
Defeat Maverick
Defeat Interceptor
Defeat King
Defeat The Judge
Win all races in single player mode (including secret levels and Super Arcade levels)
Play your first Online race
Win your first Online race
Achieve Amateur Rank
Achieve Expert Rank
Achieve Semi-Pro Rank
Achieve Pro 1 Rank
Achieve Pro 2 Rank
Achieve Pro 3 Rank
Achieve Pro 4 Rank
Achieve Pro 5 Rank
Achieve Pro 6 Rank
Achieve Pro 7 Rank
Achieve Pro 8 Rank
Achieve Pro 9 Rank
Achieve Pro 10 Rank
Win 5 Online races
Win 25 Online races
Win 50 Online races
Win 100 Online races