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