Here is the full list of all 53 Hotshot Racing achievements. It takes around 25-30 hours to unlock all of the achievements on Windows.
Finish first in the Boss Level GP on Expert
Finish a Barrel Barrage race on fire
Finish a Barrel Barrage race without hitting a single barrel
Unlock all customisation options.
Purchase all customisation options.
Come 1st in 9 online races (any game mode)
Play an Online race with a customised vehicle.
Play an Online race.
Complete a race in every vehicle.
Customise every aspect of a vehicle and complete a race with it.
Achieve 1st place as Toshiro in any Grand Prix on Expert.
Achieve 1st place as Mike in any Grand Prix on Expert.
Achieve 1st place as Viktor in any Grand Prix on Expert.
Achieve 1st place as Marcus in any Grand Prix on Expert.
Achieve 1st place as Xing in any Grand Prix on Expert.
Achieve 1st place as Aston in any Grand Prix on Expert.
Perform 10 boosts in a race.
Complete a race without colliding with another racer.
(Cops only) Convert a Robber by colliding whilst driving in the wrong direction.
(Cops only) Convert 3 Robbers into Cops in a Cops & Robbers race.
(Robbers Only) Perform a donut in a race and achieve the highest score.
Cross the finish line on Drive or Explode at 300mph.
In Drive or Explode, explode before reaching the 1st checkpoint.
Drive or Explode: Cause 3 vehicles to explode within 10 seconds of hitting them.
Drive or Explode: Finish a lap without taking any damage. (Restored health is irrelevant.)
Drive or Explode: Finish a race on fire.
Start the explosion timer 4 times in Drive or Explode.
In Drive or Explode, crash into another racer causing them to explode.
Beat a downloaded ghost time in Time Trial.
Drive inside a ghost in Time Trial for 5 seconds.
Come 1st in 16 arcade races on different tracks.
Finish an arcade race on every track.
Come 1st in an Arcade Race after dropping to 8th place from 1st place.
Come 1st in 8 arcade races on different tracks.
Reverse across the finish line and take 1st place in an arcade race.
Come 1st in 4 arcade races on different tracks.
Fail a start line boost and take 1st place in arcade mode.
Set a personal best time on every track. (No mirrored track required.)
Beat 5 personal bests on any track.
Beat a default ghost time in Time Trial.
(Robbers only) Complete a race of Cops & Robbers without being converted into a Cop.
Achieve 1st place as Alexa in any Grand Prix on Expert.
Come 1st in every GP as any character on Expert.
Build your boost meter to full from empty twice in a race.
Finish a race with 20 track destructibles destroyed.
Complete a race on a mirrored track.
(Cops Only) Convert 2 Robbers within a second of eachother
Come 1st in an arcade race.
Slipstream behind a player for 5 seconds.
Achieve 1st place as Keiko in any Grand Prix on Expert.
Build a full boost bar segment from one drift.
Come 1st and beat 2nd place by 1 second.
Exit a Drift with a Boost.